EXACT SOLUTION OF SOME LINEAR AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS BY LAPLACE-ADOMIAN METHOD AND SBA METHOD
In this paper, analytic solutions of second-order hyperbolic-diffusion equation with convection and also of a nonlinear parabolic-hyperbolic partial differential equation are deduced with the help of the powerful Laplace-Adomian method and Some Blaise Abbo (SBA) method. The results reveal that these methods are very effective and simple and can be applied to other problems in different fields of applied mathematics and physics.
LADM method, SBA method, hyperbolic-diffusion equation, convection, parabolic-hyperbolics equation.
Received: May 11, 2021; Accepted: August 1, 2021; Published: August 7, 2021
How to cite this article: Joseph Bonazebi Yindoula, Stevy Mikamona Mayembo, Nebie Abdoul Wassiha, Youssouf Pare and Gabriel Bissanga, Exact solution of some linear and nonlinear partial differential equations by Laplace-Adomian method and SBA method, Advances in Differential Equations and Control Processes 25(2) (2021), 141-163. DOI: 10.17654/DE025020141
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
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