Frontiers of Mathematics in China >
Spectral method for multidimensional Volterra integral equation with regular kernel
Received date: 16 Aug 2016
Accepted date: 22 Feb 2019
Published date: 15 Apr 2019
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This paper is concerned with obtaining an approximate solution for a linear multidimensional Volterra integral equation with a regular kernel. We choose the Gauss points associated with the multidimensional Jacobi weight function (d denotes the space dimensions) as the collocation points. We demonstrate that the errors of approximate solution decay exponentially. Numerical results are presented to demonstrate the eectiveness of the Jacobi spectral collocation method.
Yunxia WEI , Yanping CHEN , Xiulian SHI , Yuanyuan ZHANG . Spectral method for multidimensional Volterra integral equation with regular kernel[J]. Frontiers of Mathematics in China, 2019 , 14(2) : 435 -448 . DOI: 10.1007/s11464-019-0758-8
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