Series Solutions of Delay Integral Equations via a Modified Approach of Homotopy Analysis Method

Authors

  • Shaheed N. Huseen Mathematics Department, Faculty of Computer Science and Mathematics, University of Thi-Qar, Thi-Qar, Iraq
  • Ali S. Tayih

DOI:

https://doi.org/10.24996/ijs.2021.62.11.21

Keywords:

Delay integral equations, Homotopy analysis method, Series solutions

Abstract

In this paper, the series solutions of a non-linear delay integral equations are considered by a modified approach of homotopy analysis method (MAHAM). We split the function   into infinite sums. The outcomes of the illustrated examples are included to confirm the accuracy and efficiency of the MAHAM. The exact solution can be obtained using special values of the convergence parameter.

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Published

2021-11-30

Issue

Section

Mathematics

How to Cite

Series Solutions of Delay Integral Equations via a Modified Approach of Homotopy Analysis Method. (2021). Iraqi Journal of Science, 62(11), 4006-4018. https://doi.org/10.24996/ijs.2021.62.11.21
Crossref
1
Scopus
2
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Dhari I.A. (2024-01-01)
Numerical Solution of Linear Volterra Integral Equation of the Second Kind with Delay Using Lagrange Polynomials. Iraqi Journal of Science, 65(3), 1541-1547.
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Huseen S.N. (2022-01-01)
A New Reliable Computational Technique for Solving Linear and Nonlinear Wave-Like Equations. 2022 8th International Conference on Contemporary Information Technology and Mathematics Iccitm 2022, 391-397.

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