Theoretical investigation on error analysis of Sinc approximation for mixed Volterra-Fredholm integral equation |
| |
Authors: | H Mesgarani R Mollapourasl |
| |
Institution: | 19676. School of Mathematics, Shahid Rajaee Teacher Training University Lavizan, Tehran, 16788, Iran
|
| |
Abstract: | In this study, we propose one of the new techniques used in solving numerical problems involving integral equations known as the Sinc-collocation method. This method has been shown to be a powerful numerical tool for finding fast and accurate solutions. So, in this article, a mixed Volterra-Fredholm integral equation which has been appeared in many science an engineering phenomena is discredited by using some properties of the Sinc-collocation method and Sinc quadrature rule to reduce integral equation to some algebraic equations. Then exponential convergence rate of this numerical technique is discussed by preparing a theorem. Finally, some numerical examples are included to demonstrate the validity and applicability of the convergence theorem and numerical scheme. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|