Homotopy perturbation method is an effective method for obtaining exact solutions of integral equations. However, it might perform poorly on ill-posed integral equations. In this paper, we introduce a new version of the homotopy perturbation method that efficiently solves ill-posed integral equations. Finally, several numerical examples, including a system of integral equations, are presented to demonstrate the efficiency of the new method.
Aminikhah, Hossein and Salahi, Maziar
A New HPM for Integral Equations,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 4,
1, Article 10.
Available at: https://digitalcommons.pvamu.edu/aam/vol4/iss1/10