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  1. Vibrations of a vertical beam rotating with variable angular velocity

    Article • Partial Differential Equations in Applied Mathematics, December 2024, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  2. Optimal multiple functional regression analysis using perturbation theory

    Article • Journal of Taibah University for Science, June 2024, Taylor & Francis

    Professor Emeritus Mehmet Pakdemirli

  3. Understanding the physics of eigenvalue-eigenfunction problems: Rotating beam problem

    Article • International Journal of Mechanical Engineering Education, June 2024, SAGE Publications

    Professor Emeritus Mehmet Pakdemirli

  4. Mathematical modelling of hanging rope problem subject to rotation

    Article • International Journal of Mathematical Education in Science and Technology, June 2024, Taylor & Francis

    Professor Emeritus Mehmet Pakdemirli

  5. New transition curves maintaining constant normal accelerations for vehicles

    Article • Zeitschrift für Naturforschung A, May 2024, De Gruyter

    Professor Emeritus Mehmet Pakdemirli

  6. Generalized Definition of the Derivative

    Article • March 2024, MDPI AG

    Professor Emeritus Mehmet Pakdemirli

  7. Effect of Angular Speed Variations on the Nonlinear Vibrations of a Rotational Spring-Mass System

    Article • International Journal of Applied Mechanics and Engineering, March 2024, Uniwersytet Zielonogórski

    Professor Emeritus Mehmet Pakdemirli

  8. New Approximate Symmetry Theorems and Comparisons With Exact Symmetries

    Article • Qeios, March 2024, Qeios Ltd

    Professor Emeritus Mehmet Pakdemirli

  9. On a New Two-Point Taylor Expansion With Applications

    Article • Qeios, February 2024, Qeios Ltd

    Professor Emeritus Mehmet Pakdemirli

  10. On a New Two Point Taylor Expansion With Applications

    Article • Qeios, January 2024, Qeios Ltd

    Professor Emeritus Mehmet Pakdemirli

  11. A new approach to embedded differential equations: The core-shell approach

    Article • Journal of Mathematical Problems Equations and Statistics, January 2024, AkiNik Publications

    Professor Emeritus Mehmet Pakdemirli

  12. New numerical iteration schemes based on perturbation iteration algorithms

    Article • International Journal of Computational Methods, November 2023, World Scientific Pub Co Pte Lt

    Professor Emeritus Mehmet Pakdemirli

  13. The new shift perturbation method with applications to vibrational problems

    Article • Journal of Vibration and Control, May 2023, SAGE Publications

    Professor Emeritus Mehmet Pakdemirli

  14. Symmetry analysis of the constant acceleration curve equation

    Article • Zeitschrift für Naturforschung A, April 2023, De Gruyter

    Professor Emeritus Mehmet Pakdemirli

  15. A New Complex Number Definition: Distinct Imaginary Numbers

    Article • January 2023, Research Square

    Professor Emeritus Mehmet Pakdemirli

  16. Fibonacci Differential Equation and Associated Spiral Curves

    Article • CODEE Journal, January 2023, Claremont Colleges Library

    Professor Emeritus Mehmet Pakdemirli

  17. Nonlinear curve equations maintaining constant normal accelerations with drag induced tangential decelerations

    Article • Zeitschrift für Naturforschung A, December 2022, De Gruyter

    Professor Emeritus Mehmet Pakdemirli

  18. Aerodynamic Design of Buses Inspired by Beluga Whales

    Article • October 2022, Research Square

    Professor Emeritus Mehmet Pakdemirli

  19. On the Discretization of Weakly Nonlinear Spatially Continuous Systems

    Article • May 2018, Taylor & Francis

    Professor Emeritus Mehmet Pakdemirli

  20. Free and Forced Vibrations of the Strongly Nonlinear Cubic-Quintic Duffing Oscillators

    Article • Zeitschrift für Naturforschung A, January 2017, De Gruyter

    Professor Emeritus Mehmet Pakdemirli, Dr M. M. Fatih Karahan

  21. Nonlinear mathematical models for paths maintaining constant normal accelerations

    Article • January 2017, American Institute of Physics

    Professor Emeritus Mehmet Pakdemirli

  22. Perturbation–iteration method for strongly nonlinear vibrations

    Article • Journal of Vibration and Control, August 2016, SAGE Publications

    Professor Emeritus Mehmet Pakdemirli

  23. Parallel Plate Flow of a Third-Grade Fluid and a Newtonian Fluid With Variable Viscosity

    Article • Zeitschrift für Naturforschung A, July 2016, De Gruyter

    Professor Emeritus Mehmet Pakdemirli

  24. A New Perturbation Approach to Optimal Polynomial Regression

    Article • Mathematical and Computational Applications, March 2016, MDPI AG

    Professor Emeritus Mehmet Pakdemirli

  25. Corrigendum: Determining the velocities and angles for a free kick problem

    Article • Canadian Journal of Physics, March 2016, Canadian Science Publishing

    Professor Emeritus Mehmet Pakdemirli

  26. Application of the perturbation iteration method to boundary layer type problems

    Article • SpringerPlus, February 2016, Springer Science + Business Media

    Professor Emeritus Mehmet Pakdemirli

  27. New approximate solutions for the strongly nonlinear cubic-quintic duffing oscillators

    Article • January 2016, American Institute of Physics

    Professor Emeritus Mehmet Pakdemirli

  28. Perturbation iteration method solutions of a nonlinear fin equation

    Article • January 2016, American Institute of Physics

    Professor Emeritus Mehmet Pakdemirli

  29. Preface of the “Minisymposium on Applied Symmetries and Perturbation Methods”

    Article • January 2016, American Institute of Physics

    Professor Emeritus Mehmet Pakdemirli

  30. PERTURBATION-ITERATION SOLUTION FOR A THIRD-GRADE FLUID FLOWING BETWEEN PARALLEL PLATES

    Article • January 2016, Begell House

    Professor Emeritus Mehmet Pakdemirli

  31. Determining the velocities and angles for a free kick problem

    Article • Canadian Journal of Physics, November 2015, Canadian Science Publishing

    Professor Emeritus Mehmet Pakdemirli

  32. Mathematical design of a highway exit curve

    Article • International Journal of Mathematical Education in Science and Technology, May 2015, Taylor & Francis

    Professor Emeritus Mehmet Pakdemirli

  33. Precession of a Planet with the Multiple Scales Lindstedt–Poincare Technique

    Article • Zeitschrift für Naturforschung A, January 2015, De Gruyter

    Professor Emeritus Mehmet Pakdemirli

  34. Solution of a quadratic nonlinear problem with multiple scales Lindstedt-Poincare method

    Article • January 2015, American Institute of Physics

    Professor Emeritus Mehmet Pakdemirli

  35. Group-Theoretic Approach to Boundary Layer Equations of an Oldroy-B Fluid

    Article • Zeitschrift für Naturforschung A, December 2013, De Gruyter

    Professor Emeritus Mehmet Pakdemirli

  36. Review of the New Perturbation-Iteration Method

    Article • Mathematical and Computational Applications, December 2013, MDPI AG

    Professor Emeritus Mehmet Pakdemirli

  37. Non-Linear Vibrations of a Microbeam Resting on an Elastic Foundation

    Article • Arabian Journal for Science and Engineering, January 2013, Springer Science + Business Media

    Professor Emeritus Mehmet Pakdemirli

  38. A comprehensive perturbation theorem for estimating magnitudes of roots of polynomials

    Article • LMS Journal of Computation and Mathematics, January 2013, Wiley

    Professor Emeritus Mehmet Pakdemirli

  39. Effect of Viscoelasticity on the Natural Frequencies of Axially Moving Continua

    Article • Advances in Mechanical Engineering, January 2013, SAGE Publications

    Professor Emeritus Mehmet Pakdemirli

  40. New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations

    Article • Journal of Applied Mathematics, January 2013, Hindawi Publishing Corporation

    Professor Emeritus Mehmet Pakdemirli

  41. Perturbation-Iteration Method for First-Order Differential Equations and Systems

    Article • Abstract and Applied Analysis, January 2013, Hindawi Publishing Corporation

    Professor Emeritus Mehmet Pakdemirli

  42. Symmetries, Differential Equations, and Applications: Galois Bicentenary

    Article • Journal of Applied Mathematics, January 2013, Hindawi Publishing Corporation

    Professor Emeritus Mehmet Pakdemirli

  43. Vibrations of a Slightly Curved Microbeam Resting on an Elastic Foundation with Nonideal Boundary Conditions

    Article • Mathematical Problems in Engineering, January 2013, Hindawi Publishing Corporation

    Professor Emeritus Mehmet Pakdemirli

  44. Lie group analysis of a non-Newtonian fluid flow over a porous surface

    Article • Scientia Iranica, December 2012, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  45. Principal parametric resonances of a general continuous system with cubic nonlinearities

    Article • Applied Mathematics and Computation, November 2012, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  46. New perturbation‐iteration solutions for nonlinear heat transfer equations

    Article • International Journal of Numerical Methods for Heat &amp Fluid Flow, September 2012, Emerald

    Professor hakan boyaci, Prof. Saeid Abbasbandy, Professor Emeritus Mehmet Pakdemirli

  47. Boundary Layer Theory and Symmetry Analysis of a Williamson Fluid

    Article • Zeitschrift für Naturforschung A, July 2012, De Gruyter

    Professor Emeritus Mehmet Pakdemirli

  48. Boundary Layer Equations and Lie Group Analysis of a Sisko Fluid

    Article • Journal of Applied Mathematics, January 2012, Hindawi Publishing Corporation

    Professor Emeritus Mehmet Pakdemirli

  49. Cooling Intensification of a Continuously Moving Stretching Surface Using Different Types of Nanofluids

    Article • Journal of Applied Mathematics, January 2012, Hindawi Publishing Corporation

    Professor Emeritus Mehmet Pakdemirli

  50. Effects of non-ideal boundary conditions on the vibrations of a slightly curved micro beam

    Article • January 2012, American Institute of Physics

    Professor Emeritus Mehmet Pakdemirli

  51. Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid

    Article • Journal of Applied Mathematics, January 2012, Hindawi Publishing Corporation

    Professor Emeritus Mehmet Pakdemirli

  52. Magnetohydrodynamic and Slip Effects on the Flow and Mass Transfer over a Microcantilever-Based Sensor

    Article • Journal of Applied Mathematics, January 2012, Hindawi Publishing Corporation

    Professor Emeritus Mehmet Pakdemirli

  53. Non-Newtonian fluid effects on surface reactions in a microfluidic flow cell

    Article • January 2012, American Institute of Physics

    Professor Emeritus Mehmet Pakdemirli

  54. Perturbation analysis of a modified second grade fluid over a porous plate

    Article • Nonlinear Analysis Real World Applications, June 2011, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  55. Group classification for path equation describing minimum drag work and symmetry reductions

    Article • Applied Mathematics and Mechanics, July 2010, Springer Science + Business Media

    Professor Emeritus Mehmet Pakdemirli

  56. A general solution procedure for the forced vibrations of a system with cubic nonlinearities: Three-to-one internal resonances with external excitation

    Article • Journal of Sound and Vibration, June 2010, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  57. Perturbation theorems for estimating magnitudes of roots of polynomials

    Article • Applied Mathematics and Computation, May 2010, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  58. New perturbation–iteration solutions for Bratu-type equations

    Article • Computers & Mathematics with Applications, April 2010, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  59. A general solution procedure for the forced vibrations of a continuous system with cubic nonlinearities: Primary resonance case

    Article • Journal of Sound and Vibration, September 2009, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  60. An application of calculus: optimum parabolic path problem

    Article • Teaching Mathematics and its Applications An International Journal of the IMA, August 2009, Oxford University Press (OUP)

    Professor Emeritus Mehmet Pakdemirli

  61. Approximate Analytical Solutions for Flow of a Third-Grade Fluid Through a Parallel-Plate Channel Filled with a Porous Medium

    Article • Transport in Porous Media, July 2009, Springer Science + Business Media

    Professor Emeritus Mehmet Pakdemirli

  62. A new perturbation solution for systems with strong quadratic and cubic nonlinearities

    Article • Mathematical Methods in the Applied Sciences, June 2009, Wiley

    Professor Emeritus Mehmet Pakdemirli

  63. The drag work minimization path for a flying object with altitude-dependent drag parameters

    Article • Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, February 2009, SAGE Publications

    Professor Emeritus Mehmet Pakdemirli

  64. Analytical solution for non-equilibrium energy transfer in gold: Influence of ballistic contribution of electrons on energy transfer

    Article • International Journal of Thermal Sciences, February 2009, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  65. Analytical and numerical solutions of electro-osmotically driven flow of a third grade fluid between micro-parallel plates

    Article • International Journal of Non-Linear Mechanics, November 2008, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  66. Symmetries of boundary layer equations of power-law fluids of second grade

    Article • Acta Mechanica Sinica, September 2008, Springer Science + Business Media

    Professor Emeritus Mehmet Pakdemirli

  67. Infinite mode analysis and truncation to resonant modes of axially accelerated beam vibrations

    Article • Journal of Sound and Vibration, April 2008, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  68. Perturbation solution for a third-grade fluid flowing between parallel plates

    Article • Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science, April 2008, SAGE Publications

    Professor Emeritus Mehmet Pakdemirli

  69. Boundary layer equations and stretching sheet solutions for the modified second grade fluid

    Article • International Journal of Engineering Science, October 2007, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  70. Stability Analysis of Rotating Blade Vibration due to Torsional Excitation

    Article • Journal of Vibration and Control, September 2007, SAGE Publications

    Professor Emeritus Mehmet Pakdemirli

  71. Symmetries and approximate solution of energy transfer equations in short pulse laser heating

    Article • International Journal of Thermal Sciences, September 2007, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  72. Estimating roots of polynomials using perturbation theory

    Article • Applied Mathematics and Computation, May 2007, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  73. Generation of root finding algorithms via perturbation theory and some formulas

    Article • Applied Mathematics and Computation, January 2007, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  74. Two-to-one internal resonances in a shallow curved beam resting on an elastic foundation

    Article • Acta Mechanica, July 2006, Springer Science + Business Media

    Professor Emeritus Mehmet Pakdemirli

  75. Analytical solution for temperature field in electron and lattice sub-systems during heating of solid film

    Article • Physica B Condensed Matter, June 2006, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  76. Entropy generation for pipe flow of a third grade fluid with Vogel model viscosity

    Article • International Journal of Non-Linear Mechanics, April 2006, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  77. Similarity analysis of a nonlinear fin equation

    Article • Applied Mathematics Letters, April 2006, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  78. Entropy Generation Due to the Flow of a Non-Newtonian Fluid with Variable Viscosity in a Circular Pipe

    Article • Heat Transfer Engineering, December 2005, Taylor & Francis

    Professor Emeritus Mehmet Pakdemirli

  79. Analytical solution for temperature field in thin film initially heated by a short-pulse laser source

    Article • Heat and Mass Transfer, July 2005, Springer Science + Business Media

    Professor Emeritus Mehmet Pakdemirli

  80. Non-linear vibrations of suspension bridges with external excitation

    Article • International Journal of Non-Linear Mechanics, July 2005, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  81. Approximate symmetries of creeping flow equations of a second grade fluid

    Article • International Journal of Non-Linear Mechanics, December 2004, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  82. Group classification of fin equation with variable thermal properties

    Article • International Journal of Engineering Science, October 2004, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  83. Comparison of Approximate Symmetry Methods for Differential Equations

    Article • Acta Applicandae Mathematicae, February 2004, Springer Science + Business Media

    Professor Emeritus Mehmet Pakdemirli

  84. Non-linear vibrations of a simple–simple beam with a non-ideal support in between

    Article • Journal of Sound and Vibration, November 2003, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  85. Three-to-one internal resonances in a general cubic non-linear continuous system

    Article • Journal of Sound and Vibration, November 2003, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  86. Comparison of higher order versions of the method of multiple scales for an odd non-linearity problem

    Article • Journal of Sound and Vibration, May 2003, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  87. NATURAL FREQUENCIES OF SUSPENSION BRIDGES: AN ARTIFICIAL NEURAL NETWORK APPROACH

    Article • Journal of Sound and Vibration, October 2002, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  88. Group Classification and Some Similarity Solutions for a Nonlinear Filtration Equation

    Article • Mathematical and Computational Applications, April 2002, MDPI AG

    Professor Emeritus Mehmet Pakdemirli

  89. Approximate analytical solutions for the flow of a third-grade fluid in a pipe

    Article • International Journal of Non-Linear Mechanics, March 2002, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  90. Group ? theoretic approach to axially accelerating beam problem

    Article • Acta Mechanica, March 2002, Springer Science + Business Media

    Professor Emeritus Mehmet Pakdemirli

  91. EFFECT OF NON-IDEAL BOUNDARY CONDITIONS ON THE VIBRATIONS OF CONTINUOUS SYSTEMS

    Article • Journal of Sound and Vibration, January 2002, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  92. A general solution procedure for coupled systems with arbitrary internal resonances

    Article • Mechanics Research Communications, November 2001, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  93. VIBRATIONS OF CONTINUOUS SYSTEMS WITH A GENERAL OPERATOR NOTATION SUITABLE FOR PERTURBATIVE CALCULATIONS

    Article • Journal of Sound and Vibration, October 2001, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  94. Lie group analysis of creeping flow of a second grade fluid

    Article • International Journal of Non-Linear Mechanics, September 2001, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  95. Non-linear vibrations and stability of an axially moving beam with time-dependent velocity

    Article • International Journal of Non-Linear Mechanics, January 2001, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  96. VIBRATIONS OF AN AXIALLY ACCELERATING BEAM WITH SMALL FLEXURAL STIFFNESS

    Article • Journal of Sound and Vibration, July 2000, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  97. LIE GROUP THEORY AND ANALYTICAL SOLUTIONS FOR THE AXIALLY ACCELERATING STRING PROBLEM

    Article • Journal of Sound and Vibration, March 2000, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  98. Exact solutions of boundary layer equations of a special non-Newtonian fluid over a stretching sheet

    Article • Mechanics Research Communications, March 1999, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  99. Similarity Transformations for Partial Differential Equations

    Article • SIAM Review, January 1998, Society for Industrial & Applied Mathematics (SIAM)

    Professor Emeritus Mehmet Pakdemirli

  100. Continuous Systems with Odd Nonlinearities: A General Solution Procedure

    Article • Mathematical and Computational Applications, August 1997, MDPI AG

    Professor Emeritus Mehmet Pakdemirli

  101. Symmetry groups of boundary layer equations of a class of non-Newtonian fluids

    Article • International Journal of Non-Linear Mechanics, May 1996, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  102. Analysis of one-to-one autoparametric resonances in cables—Discretization vs. direct treatment

    Article • Nonlinear Dynamics, July 1995, Springer Science + Business Media

    Professor Emeritus Mehmet Pakdemirli

  103. A comparison of two perturbation methods for vibrations of systems with quadratic and cubic nonlinearities

    Article • Mechanics Research Communications, March 1994, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  104. Similarity analysis of boundary layer equations of a class of non-Newtonian fluids

    Article • International Journal of Non-Linear Mechanics, March 1994, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  105. Conventional and multiple deck boundary layer approach to second and third grade fluids

    Article • International Journal of Engineering Science, January 1994, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  106. Transverse Vibration of an Axially Accelerating String

    Article • Journal of Sound and Vibration, January 1994, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  107. Dynamic Stability Of A Constantly Accelerating Strip

    Article • Journal of Sound and Vibration, December 1993, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  108. Does religion contradict science?

    Article • American Journal of Physics, March 1993, American Association of Physics Teachers (AAPT)

    Professor Emeritus Mehmet Pakdemirli

  109. Boundary layer flow of power-law fluids past arbitrary profiles

    Article • IMA Journal of Applied Mathematics, January 1993, Oxford University Press (OUP)

    Professor Emeritus Mehmet Pakdemirli

  110. Rain problem for a moving object

    Article • International Journal of Mathematical Education in Science and Technology, January 1993, Taylor & Francis

    Professor Emeritus Mehmet Pakdemirli

  111. Similarity analysis of compressible boundary layers for arbitrary profiles

    Article • Mechanics Research Communications, September 1992, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  112. The boundary layer equations of third-grade fluids

    Article • International Journal of Non-Linear Mechanics, September 1992, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  113. Similarity solutions of boundary layer equations for second order fluids

    Article • International Journal of Engineering Science, May 1992, Elsevier

    Professor Emeritus Mehmet Pakdemirli

  114. Boundary layer theory for second order fluids

    Article • International Journal of Engineering Science, April 1992, Elsevier

    Professor Emeritus Mehmet Pakdemirli