Method of Lines for Nonlinear Redaction-Diffusion Equations
Journal: International Journal of Progressive Sciences and Technologies (IJPSAT) (Vol.51, No. 2)Publication Date: 2025-07-07
Authors : Huda Mohammed; Abdelsalam Abuzreda;
Page : 183-200
Keywords : finite differences approximations; method of lines; partial differential equations; Rung Kutta method.;
Abstract
Method of lines is used to solve nonlinear redaction-diffusion equations. The study focus three partial differential equations, Burger's Equation, Fisher's Equation and Burgers-Fisher Equation. This method is transforming the nonlinear partial differential equations to systems of nonlinear ordinary differential equations. Some numerical examples are presented to show the efficiency of considered method and compared this method with a previous studies. In addition, the graphical represented the solutions, which had been given by MATLAB program.Keywords: finite differences approximations, method of lines, partial differential equations, Rung Kutta method.
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