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

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 propo...

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Veröffentlicht in:Applied mathematics and nonlinear sciences 2016-11, Vol.1 (2), p.529-546
Hauptverfasser: Shiralashetti, S. C., Mundewadi, R. A.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2444-8656
2444-8656
DOI:10.21042/AMNS.2016.2.00042