A computational method for solving a class of two dimensional Volterra integral equations

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• 作者：M.I. Berenguer ^{maribel@ugr.es} ; D. Gá ; mez ; ^{domingo@ugr.es}
• 关键词：45A05 ; 45L05 ; 45N05 ; 65R20
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：July 2017
• 年：2017
• 卷：318
• 期：Complete
• 页码：403-410
• 全文大小：408 K
• 卷排序：318

文摘

The use of the Geometric Series theorem, together with Schauder bases in certain Banach spaces, allows us to design a numerical algorithm in order to solve an important type of two-dimensional linear integral equations. A study of the convergence and error is presented here. All the calculations can be easily implemented and the efficiency of this method will be shown with numerical results.