Solution of a Singular Integral Equation by a Split-Interval Method

Solution of a Singular Integral Equation by a Split-Interval Method

Year:    2007

Author:    T. Diogo, N. J. Ford, P. M. Lima, S. M. Thmas

International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 1 : pp. 63–73

Abstract

In this paper we give details of a new numerical method for the solution of a singular integral equation of Volterra type that has an infinite class of solutions. The split-interval method we have adopted utilises a simple robust numerical method over an initial time interval (which includes the singularity) combined with extrapolation. We describe the method and give details of its order of convergence together with examples that show its effectiveness.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-IJNAM-851

International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 1 : pp. 63–73

Published online:    2007-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    numerical methods extrapolation singular integral equation Volterra equation.

Author Details

T. Diogo

N. J. Ford

P. M. Lima

S. M. Thmas