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The Adomian Decomposition Method for Solving Nonlinear Partial Differential Equation Using Maple
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- 1 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- 2 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Advances in Pure Mathematics·Volume 11 (2021)·Pages 595–603·Published 17 June 2021·DOI10.4236/apm.2021.116038
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Abstract
The nonlinear partial differential equation is solved using the Adomian decomposition method (ADM) in this article. A number of examples have been provided to illustrate the numerical results, which is the comparison of the exact and numerical solutions, and it has been discovered through the tables that the amount of error between the exact and numerical solutions is very small and almost non-existent, and the graph also shows how the exact solution of absolutely applies to the numerical solution. This demonstrates the precision of the Adomian decomposition method (ADM) for solving the nonlinear partial differential equation with Maple18. And that in terms of obtaining numerical results, this approach is characterized by ease, speed, and high accuracy.
KeywordsNonlinear Partial Differential EquationAdomian Decomposition MethodMaple18
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