Modification of Adomian Decomposition Method to Solve Two Dimensions Volterra Integral Equation Second Kind

Authors

DOI:

https://doi.org/10.24086/cuesj.v8n1y2024.pp41-45

Keywords:

Adomian decomposition method (ADM), two-dimensional Volterra Integral equations numerical solution, least square error, uniformly convergence

Abstract

In this work, the adomian decomposition method is proposed for the first time to solve problems in two-dimensional Volterra Integral equations of the second kind. In addition, modification of this method is introduced to address this problem. Several new theorems are introduced and proven regarding contractive mapping and uniform convergence to support the method. Numerical problems are solved using the software Matlab to obtain results and demonstrate the efficiency and simplicity of the technique. The modified Adomian decomposition method performs faster than the adomian decomposition method for obtaining results.

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Author Biographies

Talhat I. Hassan, Department of Automative Technology Engineering, Erbil Technology College, Erbil Polytechnic University, Kurdistan Region, Iraq

Talhat I. Hassan is a lecturer at Automation Technology Engineering department, Technology College, Erbil Polytechnic University- Erbil. His research interest are mathematics.

Chiman I. Hussein, Department of General Sciences, College of Basic Education, Salahaddin University-Erbil, Kurdistan Region, Iraq

Chiman Ibrahim hussein is an assistant lecturer in college of Basic Education general sciences department, Salahaddin University-Erbil, Kurdistan Region, Iraq. Her research interest is basic education.

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Published

2024-06-10

How to Cite

1.
Hassan TI, Hussein CI. Modification of Adomian Decomposition Method to Solve Two Dimensions Volterra Integral Equation Second Kind. Cihan U Erbil SCI J [Internet]. 2024 Jun. 10 [cited 2026 Jun. 23];8(1):41-5. Available from: https://journals.cihanuniversity.edu.iq/index.php/cuesj/article/view/1103

Issue

Vol. 8 No. 1 (2024)

Section

Research Article

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