Abstract

Three numerical schemes, namely: Toeplitz Matrix meth-od, Product Nystrom method and Sinc-Collocation method have been proposed and implemented to give an approximate solution of the linear Volterra integral equation of the second kind with Carleman kernel. To display the validity and acceptability of the numerical methods, two illustrative examples with known exact solution are presented. Numerical results show clearly that the convergence and accuracy of these schemes are in a good agreement with the exact solution. Moreover, it is worth pointing out that the Nystrom and Toeplitz matrix schemes are more efficient in comparison with the sinc-collocation method.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 31
Issue: 5
Year: 2018

DOI: 10.12732/ijam.v31i5.10

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