Applied Mathematics

Volume 11, Issue 8 (August 2020)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.96  Citations  

The Adomian Decomposition Method for Solving Volterra-Fredholm Integral Equation Using Maple

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DOI: 10.4236/am.2020.118052    668 Downloads   3,200 Views  Citations
Author(s)

ABSTRACT

In this paper, Adomian decomposition method (ADM) is used to solve the Volterra-Fredholm integral equation. A number of examples have been presented to explain the numerical results, which is the comparison between the exact solution and the numerical solution, and it is found through the tables and the amount of error between the exact solution and the numerical solution, it is very small and almost non-existent and is also illustrated through the graph how the exact solution of completely applies to the numerical solution This proves the accuracy of the method, which is the Adomian decomposition method (ADM) for solving the Volterra Fredholm integral equation using Maple 18. And that this method is characterized by ease, speed and great accuracy in obtaining numerical results.

Share and Cite:

Malaikah, H. (2020) The Adomian Decomposition Method for Solving Volterra-Fredholm Integral Equation Using Maple. Applied Mathematics, 11, 779-787. doi: 10.4236/am.2020.118052.

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