<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations

Applied Mathematics and Nonlinear Sciences

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...

Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations

Published Online: Nov 16, 2016

Page range: 529 - 546

Received: Feb 07, 2016

Accepted: Nov 16, 2016

DOI: https://doi.org/10.21042/AMNS.2016.2.00042

Keywords
Daubechies wavelet, filter coefficients, full-approximation scheme, wavelet full-approximation scheme, modified wavelet full-approximation scheme, nonlinear Volterra integral and integro-differential equations.

© 2016 S. C. Shiralashetti, R. A. Mundewadi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations

Published Online: Nov 16, 2016

Page range: 529 - 546

Received: Feb 07, 2016

Accepted: Nov 16, 2016

DOI: https://doi.org/10.21042/AMNS.2016.2.00042

KeywordsDaubechies wavelet, filter coefficients, full-approximation scheme, wavelet full-approximation scheme, modified wavelet full-approximation scheme, nonlinear Volterra integral and integro-differential equations.

© 2016 S. C. Shiralashetti, R. A. Mundewadi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Daubechies wavelet, filter coefficients, full-approximation scheme, wavelet full-approximation scheme, modified wavelet full-approximation scheme, nonlinear Volterra integral and integro-differential equations.