Homotopy perturbation method for the hypersingular integral equations of the first kind

• Main Authors: K.Eshkuvatov, Zainidin, Zulkarnain, Fatimah Samihah, Nik Long, Nik Mohd Asri, Muminov, Zahriddin
• Format: Article
• Language: English
• Published: Elsevier 2018
• Online Access: http://psasir.upm.edu.my/id/eprint/74519/1/Homotopy%20perturbation%20method%20for%20the%20hypersingular%20integral%20equations%20of%20the%20first%20kind.pdf; http://psasir.upm.edu.my/id/eprint/74519/; https://www.sciencedirect.com/science/article/pii/S2090447917301272

Simple and efficient convex homotopy perturbation method (HPM) is presented to obtain an approximate solution of hyper-singular integral equations of the first kind. Convergence and error estimate of HPM are obtained. Three numerical examples were provided to verify the effectiveness of the HPM. Com...