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  4. SOR Homotopy perturbation method to solve integro-differential equations

SOR Homotopy perturbation method to solve integro-differential equations

MMC.
2024;
Volume 11, Number 4
: pp. 954–965
https://doi.org/10.23939/mmc2024.04.954
Received: December 28, 2023
Accepted: May 25, 2024

Rhofir K., Radid A., Laaraj M.  SOR Homotopy perturbation method to solve integro-differential equations. Mathematical Modeling and Computing. Vol. 11, No. 4, pp. 954–965 (2024)

Authors:
  1. K. Rhofir
  2. A. Radid
  3. M. Laaraj
1
LASTI, ENSAK, University of Sultan Moulay Slimane
2
LMFA-FSAC Casablanca, Hassan II University, Morocco
3
ENSAM Casablanca, Hassan II University, Morocco

We present in this paper, SOR Homotopy perturbation method, a new decomposition method by introducing a parameter $\omega$ to extend a classical homotopy perturbation method for solving integro-differential equations of various kinds.  Using SOR homotopy perturbation method and its iterative scheme we can give the exact solution or a closed approximate to the solution of the problem.  The convergence of the proposed method has been elaborated and some illustrative examples are presented with applications to Fredholm and Volterra integral equations.

SOR Homotopy perturbation method
Fredholm integral equation
Volterra integral equation
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