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International Journal of Numerical Methods and Applications

International Journal of Numerical Methods and Applications
Volume 24, Issue 2, Pages 127 - 143 (December 2024)
http://dx.doi.org/10.17654/0975045224009

LAPLACE-SBA METHOD FOR SOLVING REACTION-DIFFUSION-CONVECTION TYPE EQUATIONS FROM POROUS MEDIA

Yanick Alain Servais WELLOT and Gires Dimitri NKAYA

Abstract:

In this article, the Laplace-SBA method is used to solve some nonlinear parabolic problems arising from porous media. This method is based on combination of Laplace transform and the SBA method. After a brief introduction to the Laplace transform, the basic principles of the SBA method are described. The process of employing the Laplace-SBA algorithm to determine the exact solution of a nonlinear equation is explained by considering three examples.

Keywords and phrases:

Laplace-SBA method, media porous, reaction-diffusion-convection equation.

Received: April 13, 2024; Accepted: June 7, 2024; Published: July 18, 2024

How to cite this article: Yanick Alain Servais WELLOT and Gires Dimitri NKAYA, Laplace-SBA method for solving reaction-diffusion-convection type equations from porous media, International Journal of Numerical Methods and Applications 24(2) (2024), 127-143. https://doi.org/10.17654/0975045224009

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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