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Volume 4, Issue 1
Solution of a Singular Integral Equation by a Split-Interval Method

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

Int. J. Numer. Anal. Mod., 4 (2007), pp. 63-73.

Published online: 2007-04

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  • 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.

  • Keywords

numerical methods, extrapolation, singular integral equation, Volterra equation.

  • AMS Subject Headings

65R20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-4-63, author = {Diogo , T.Ford , N. J.Lima , P. M. and Thmas , S. M.}, title = {Solution of a Singular Integral Equation by a Split-Interval Method}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/851.html} }
TY - JOUR T1 - Solution of a Singular Integral Equation by a Split-Interval Method AU - Diogo , T. AU - Ford , N. J. AU - Lima , P. M. AU - Thmas , S. M. JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 63 EP - 73 PY - 2007 DA - 2007/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/851.html KW - numerical methods, extrapolation, singular integral equation, Volterra equation. AB -

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.

Diogo , T.Ford , N. J.Lima , P. M. and Thmas , S. M.. (2007). Solution of a Singular Integral Equation by a Split-Interval Method. International Journal of Numerical Analysis and Modeling. 4 (1). 63-73. doi:
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