Abstract

AbstractAn 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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