Error Estimations of Homotopy Perturbation Method for linear Integral andIntegro-Differential Equations of the Third kind

Research & Reviews: Journal of Statistics and Mathematical Sciences

article

Eshkuvatov ZK¹  Zulkarnain FS³  Nik Long NMA³  Muminov Z.⁴ 

[1] Faculty of Science and Technology, Universiti Sains Islam Malaysia;Institute for Mathematical Research, Universiti Putra Malaysia;Department of Mathematics, Faculty of Science, Universiti Putra Malaysia;Malaysia-Japan International Institute of Technology, Universiti Teknologi Malaysia

关键词: Approximate method;    Homotopy perturbation method;    Convergence;    Error estimate;   

来源: Research & Reviews

【 摘 要 】

In this note, convex Homotopy perturbation method (HPM) is presented for the approximate solution of the linear Fredholm-Volterra integral and integro-differential equation. Convergence and rate of convergence of the HPM are proved for both equations. Five numerical examples are provided to verify the validity and accuracy of the proposed method. Example reveals that HPM is very accurate and simple to implement for integral and integrodifferential equations.

【 授权许可】

Unknown