NUMERICAL SOLUTION OF COUPLED FREDHOLM INTEGRAL EQUATIONS OF SECOND KIND USING HAAR WAVELETS.

Sumana R. Shesha; Savitha S.; Achala L. Nargund.

doi:10.21474/IJAR01/1233

31 Aug 2016 Vol. 4 (08) pp. 431-445 DOI: 10.21474/IJAR01/1233

NUMERICAL SOLUTION OF COUPLED FREDHOLM INTEGRAL EQUATIONS OF SECOND KIND USING HAAR WAVELETS.

Sumana R. Shesha, Savitha S. and Achala L. Nargund.

P. G. Department of Mathematics and Research Centre in Applied Mathematics, M. E. S. College of Arts, Commerce and Science,15th cross, Malleswaram, Bangalore - 560003.

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Abstract

Integral equations provide an important tool for modeling numerous phenomena and processes. In this paper, we use Haar wavelets to solve one-dimensional and two-dimensional coupled Fredholm integral equations of second kind. This method converts the system of linear integral equations into a system of linear algebraic equations. The numerical results are compared with the exact solution to prove the accuracy of the Haar wavelet method.

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How to Cite This Article

Sumana R. Shesha, Savitha S. and Achala L. Nargund. (2016); NUMERICAL SOLUTION OF COUPLED FREDHOLM INTEGRAL EQUATIONS OF SECOND KIND USING HAAR WAVELETS. , International Journal of Advanced Research (IJAR), 4 (08), 431-445, ISSN 2320-5407. DOI: https://doi.org/10.21474/IJAR01/1233