Geodesic
Theoretical investigation on error analysis of Sinc approximation for mixed Volterra–Fredholm integral equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 5

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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. 
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     author = {H. Mesgarani and R. Mollapourasl},
     title = {Theoretical investigation on error analysis of {Sinc} approximation for mixed {Volterra{\textendash}Fredholm} integral equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {701},
     publisher = {mathdoc},
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     number = {5},
     year = {2013},
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H. Mesgarani; R. Mollapourasl. Theoretical investigation on error analysis of Sinc approximation for mixed Volterra–Fredholm integral equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 5. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_5_a1/