Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations
und
16. Nov. 2016
Über diesen Artikel
Online veröffentlicht: 16. Nov. 2016
Seitenbereich: 529 - 546
Eingereicht: 07. Feb. 2016
Akzeptiert: 16. Nov. 2016
DOI: https://doi.org/10.21042/AMNS.2016.2.00042
Schlüsselwörter
© 2016 S. C. Shiralashetti, R. A. Mundewadi, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In this paper, modified wavelet full-approximation scheme is introduced for the numerical solution of nonlinear Volterra integral and integro-differential equations. Wavelet Prolongation and Restriction operators are developed using Daubechies wavelet filter coefficients. Results show that the proposed scheme offers an efficient and good accuracy with faster convergence in less computation cost, which is justified through the error analysis and CPU time.