Wavelet Interpolation Method for Solving Singular Integral Equations

Abstract

Numerical solutions of singular Fredholm integral equations of the second kind are solved by using Coiflet interpolation method. Error analysis of the method is obtained and examples are presented. It turns out that our method provides better accuracy than other methods.

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Y. Al-Jarrah and E. Lin, "Wavelet Interpolation Method for Solving Singular Integral Equations," Applied Mathematics, Vol. 4 No. 11C, 2013, pp. 1-4. doi: 10.4236/am.2013.411A3001.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] E. Lin and Y. Al-Jarrah, “A Wavelet Based Method for the Solution of Fredholm Integral Equations,” American Journals of Computational Mathematics, Vol. 2, No. 2, 2012, pp. 114-117.
[2] H. Derili and S. Sohrabi, “Numerical Solution of Singular Integral Equations Using Orthogonal Functions,” Mathematical Science, Vol. 2, No. 3, 2008, pp. 261-272.
[3] K. Maleknejad, M. Nosrati and E. Najafi, “Wavelet Galerkin Method for Solving Singular Integral Equations,” Computational & Applied Mathematics, Vol. 31, No. 2, 2012, pp. 1-14.
[4] E. Hermandez and G. Weiss, “A First Course on Wavelets,” CRC Press, 2010.
[5] E. Lin and X. Zhou, “Coiflet Interpolation and Approximation Solutions of Elliptic Partial Differential Equations,” Numerical Methods for Partial Differential Equations, Vol. 13, No. 4, 1997, pp. 303-320.

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