Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639474 | Journal of Computational and Applied Mathematics | 2013 | 8 Pages |
Abstract
The purpose of this paper is to obtain the approximation solution of the strongly nonlinear mixed Volterra–Fredholm integral equation (VFIE). For some strongly nonlinear problems, the traditional homotopy perturbation method is divergent, so we propose a modified homotopy perturbation method which is still convergent when solving the strongly nonlinear mixed VFIE. By means of this method, an algorithm is successfully established for solving the strongly nonlinear mixed VFIE. And the convergence of the algorithm is proved strictly. Finally, several examples are presented to illustrate the application of the algorithm.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chunhuan Dong, Zhong Chen, Wei Jiang,