Numerical solution of two-dimensional integral equations of the first kind by multi-step methods

Document Type : Research Paper

Authors

Department of Mathematics, Shahed University, Tehran, Iran

Abstract

‎‎‎In this paper‎, ‎we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind‎. ‎Here‎, ‎we convert a 2D-NVIE of the first kind to a one-dimensional linear VIE of the first kind and then we solve the resulted equation numerically by multi-step methods‎. ‎We also verify convergence and error analysis of the method‎. ‎At the end‎, we give some illustrative examples to show the efficiency and accuracy of the presented method.

Keywords


Volume 4, Issue 2 - Serial Number 2
April 2016
Pages 128-138
  • Receive Date: 29 August 2016
  • Revise Date: 16 November 2016
  • Accept Date: 12 December 2016
  • First Publish Date: 12 December 2016