On the numerical solutions of integral equation of mixed type

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2003 English Publisher:Springer Science and Business Media LLCJournal:Journal of Applied Mathematics and Computing, volume 12, pages 165-182 (issn: 1598-5865, eissn: 1865-2085,

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Authors: Abdou, M. A.; Mohamed, Khamis I.; Ismail, A. S.;

doi: 10.1007/bf02936190

On the numerical solutions of integral equation of mixed type

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Abstract

The authors investigate the approximate solutions of mixed Fredholm-Volterra singular integral equation of the second kind with Carleman kernel and logarithmic kernel by using the Toeplitz matrix method and the product Nyström method.

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Keywords

Toeplitz matrix method, Carleman kernel, product Nyström method, Numerical methods for integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Fredholm-Volterra integral equation

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