Collocation and iterated collocation method for the numerical solution of mixed two-dimensional Volterra-Fordhelm integral integral equations on non rectangular region with its error analysis

Laeli Dastjerdi, Hojatollah

doi:10.22055/jamm.2025.47797.2305

Collocation and iterated collocation method for the numerical solution of mixed two-dimensional Volterra-Fordhelm integral integral equations on non rectangular region with its error analysis

Document Type : Original Paper

Author

Hojatollah Laeli Dastjerdi

Department of mathemtics Farhangian University, Tehran, Iran

10.22055/jamm.2025.47797.2305

Abstract

In this paper, using the meshless method based on collocation and iterated collocation method, we investigate the numerical solution of the two-dimensional Volterra-Fordhelm integral integral equations on non-rectangular regions. This method is a meshfree method and scattered points are used to approximate the solution of the equation. The implementation of this method is simple and its calculations are done easily. The convergence of the method is checked and the numerical results show that this method is consistent with its analysis.

Keywords

Main Subjects