Numerical solution of multiple nonlinear Volterra integral equations |
| |
| Authors: | S.A. Belbas Yuriy Bulka |
| |
| Affiliation: | a Mathematics Department, University of Alabama, Tuscaloosa, AL 35487-0350, USA
b Department of Mathematics, Georgia College & State University, Campus Box 17, Milledgeville, GA 31061, USA |
| |
| Abstract: | We analyze a discretization method for solving nonlinear integral equations that contain multiple integrals. These equations include integral equations with a Volterra series, instead of a single integral term, on one side of the equation. We prove existence and uniqueness of solutions, and convergence and estimates of the order of convergence for the numerical methods of solution. |
| |
| Keywords: | Multiple Volterra integral equations Voltera series Discretization Order of the error of approximation |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
