Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Integral Equations

What is it about?

Application of OPtimal Homotopy Asymptotic method in comparison with Homotopy perturbation method to solve linear mixed Volteera-Freholm integral equation

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Why is it important?

n this paper, we study the mixed Volterra-Fredholm integral equations of the second kind by means of optimal homotopy asymptotic method (OHAM) and Homotopy Perturbation method (HPM).Our approach is independent of time and contains simple computations with quite acceptable approximate solutions in which approximate solutions obtained by these methods are close to exact solutions. Comparison of these methods have been discussed. The accuracy and efficiency of OHAM approach with respect to Homotopy Perturbation method (HPM) is illustrated by presenting four test examples. The results indicate that the OHAM is very effective and flexible to use with respect to HPM

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