Using operational matrix for solving nonlinear class of mixed Volterra–Fredholm integral equations |
| |
Authors: | Farshid Mirzaee Elham Hadadiyan |
| |
Institution: | Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran |
| |
Abstract: | This paper presents a computational technique for the solution of the nonlinear mixed Volterra–Fredholm integral equations of the second kind. Using the properties of three‐dimensional modification of hat functions, these are types of equations to a nonlinear system of algebraic equations. Also, convergence results and error analysis are discussed. The efficiency and accuracy of the proposed method is illustrated by numerical examples. Copyright © 2016 John Wiley & Sons, Ltd. |
| |
Keywords: | nonlinear mixed Volterra– Fredholm integral equations modification of hat functions operational matrices vector form error analysis |
|