Method of Lines for Nonlinear Redaction-Diffusion Equations

Huda Hammad Mohammed, Abdelsalam Abuzreda

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.


Keywords


finite differences approximations, method of lines, partial differential equations, Rung Kutta method.

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References


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DOI: http://dx.doi.org/10.52155/ijpsat.v51.2.7334

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