Geodesic
Error estimate in the sinc collocation method for Volterra-Fredholm integral equations based on DE transformation
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 75-87.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We present a method and experimental results for approximate solution of nonlinear Volterra-Fredholm integral equations by double exponential (DE) transformation based on the sinc collocation method. It is well known that by applying DE transformation the rate of convergence is attained, where $\sterling $########$${\S}$$###$\copyright \ddot $###$ "!#\\%')(0( is a parameter representing the number of terms of the sinc expansion. The purpose of this paper is to develop the work carried out in 2005 by Muhammad et al. [J. Comput. Appl. Math., 177 (2005), pp. 269-286], for the numerical solution of two dimensional nonlinear Volterra-Fredholm integral equations. We design a numerical scheme for these equations based on the sinc collocation method incorporated with the DE transformation. A new error estimation by truncation is also obtained which is shown to have an exponential order of convergence as in Muhammad et al. (op.$
Classification : 65D32, 45G10
Keywords: integral equation, sinc collocation method, double exponential transformation, Volterra-Fredholm integral equation, error estimation 
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     author = {Yazdi, M.Hadizadeh and Gelian, Gh.Kazemi},
     title = {Error estimate in the sinc collocation method for {Volterra-Fredholm} integral equations based on {DE} transformation},
     journal = {Electronic transactions on numerical analysis},
     pages = {75--87},
     publisher = {mathdoc},
     volume = {30},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a20/}
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Yazdi, M.Hadizadeh; Gelian, Gh.Kazemi. Error estimate in the sinc collocation method for Volterra-Fredholm integral equations based on DE transformation. Electronic transactions on numerical analysis, Tome 30 (2008), pp. 75-87. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a20/