Numerical Solution of Linear and Nonlinear Integral and Integro-Differential Equations using Biorthogonal Spline Wavelet Transform Method


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Authors

  • R. A. Mundewadi Department of Mathematics, M.E.S College of Arts, Commerce and Science, Bangalore, Karnataka, India
  • B. A. Mundewadi Department of Mathematics, Government First Grade College for Women's, Bagalkot, Karnataka, India

Keywords:

Biorthogonal spline wavelets, Filter coefficients, Multigrid Method, Full-approximation scheme, Integral equations, Integro-differential equations

Abstract

Biorthogonal spline wavelet method is proposed for the numerical solution of Linear and nonlinear integral and integro-differential equations. Biorthogonal spline wavelet filter coefficients have the prolongation and restriction operators. The performance of the proposed method is better than the existing ones in terms of super convergence with low computational time. Some of the test problems are demonstrated for the applicability and efficiency of the scheme.

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Published

15-03-2020

How to Cite

R. A. Mundewadi, & B. A. Mundewadi. (2020). Numerical Solution of Linear and Nonlinear Integral and Integro-Differential Equations using Biorthogonal Spline Wavelet Transform Method. International Journal of Mathematics And Its Applications, 8(1), 7–32. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/171

Issue

Vol. 8 No. 1 (2020)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.