A computational method for solving a class of two dimensional Volterra integral equations
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摘要
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.
论文关键词：45A05,45L05,45N05,65R20,Two dimensional integral equations,Schauder bases,Banach spaces,Geometric Series theorem,Numerical methods
论文评审过程：Received 28 July 2015, Revised 17 March 2016, Available online 31 May 2016, Version of Record 27 January 2017.
论文官网地址：https://doi.org/10.1016/j.cam.2016.05.028
