Solving Nonlinear Volterra-Fredholm Integro-Differential Equations of the Second Kind by Combining the Sumudu Transform and the Adomian Decomposition Method

Authors

  • Wafa Abdelkareem Hassan Abdelkareem Hassan Department of Mathematics, Faculty of Science, University of Benghazi, Libya Author

DOI:

https://doi.org/10.71147/d1hnt028

Keywords:

Nonlinear Fredholm-Volterra Integro-Differential Equations; Sumudu Transform method; Adomian Decomposition Method.

Abstract

 

Aabstract

In this paper, we modify the Sumudu decomposition method, the Sumudu Adomian Decomposition Method (SADM) which is a combination of  the Sumudu transform method with the modified Adomian method and apply this method to solve mixed Fredholm-Volterra integro-differential equations, To study the performance of this technique, we introduced tow Numerical Examples of nonlinear Fredholm-Volterra  integro-differential equations , The result shows that the proposed method is simple, fast and easy to implement.

 

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Published

2025-03-14

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Original Articles

How to Cite

Solving Nonlinear Volterra-Fredholm Integro-Differential Equations of the Second Kind by Combining the Sumudu Transform and the Adomian Decomposition Method. (2025). Derna Academy Journal for Applied Sciences, 3(2), 161-172. https://doi.org/10.71147/d1hnt028