Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations
e
16 nov 2016
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Pubblicato online: 16 nov 2016
Pagine: 529 - 546
Ricevuto: 07 feb 2016
Accettato: 16 nov 2016
DOI: https://doi.org/10.21042/AMNS.2016.2.00042
Parole chiave
© 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.