Numerical analysis of transient states in one-dimensional non-linear systems

What is it about?

An algorithm for the analysis of non‐linear partial differential equations describing transient states of one‐dimensional physical problems with boundary conditions given on the opposite ends of the analysed domain is presented. The algorithm makes use of the Runge‐Kutta and bisection methods used in space R1 and the forward finite difference method for the time domain. The algorithm is illustrated by one‐dimensional analysis of a temperature field in a transient state.

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