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Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations

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Published/Copyright: May 24, 2017

Abstract

This paper addresses the solution of one- and two-dimensional Volterra integral equations (VIEs) by means of the spectral collocation method. The novel technique takes advantage of the properties of shifted Jacobi polynomials and is applied for solving multi-dimensional VIEs. Several numerical examples demonstrate the efficiency of the method and an error analysis verifies the correctness and feasibility of the proposed method when solving VIE.

  1. Conflict of interest: The authors declare that they have no conflict of interest.

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Received: 2017-2-10
Accepted: 2017-5-4
Published Online: 2017-5-24
Published in Print: 2017-7-26

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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