Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations
et
16 nov. 2016
À propos de cet article
Publié en ligne: 16 nov. 2016
Pages: 529 - 546
Reçu: 07 févr. 2016
Accepté: 16 nov. 2016
DOI: https://doi.org/10.21042/AMNS.2016.2.00042
Mots clés
© 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.