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Article . 2018
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Cosine And Sine (Cas) Wavelet Collocation Method For The Numerical Solution Of Integral And Integro-Differential Equations

Authors: Bhaskar A. Mundewadi*1 & Ravikiran A. Mundewadi2;

Cosine And Sine (Cas) Wavelet Collocation Method For The Numerical Solution Of Integral And Integro-Differential Equations

Abstract

Cosine and Sine (CAS) wavelet collocation method for the numerical solution of Volterra, Fredholm integral and integro-differential equations, mixed Volterra-Fredholm integral equations. The method is based Cosine and Sine (CAS) wavelet approximations. The Cosine and Sine (CAS) wavelet is first presented and the resulting Cosine and sine wavelet matrices are utilized to reduce the integral and integro-differential equations into a system of algebraic equations, which is the required Cosine and Sine (CAS) coefficients, are computed using Matlab. The technique is tested on some numerical examples and compared with the exact and existing methods (i.e., Hermite, Legendre and Bernoulli Wavelet). Error analysis is worked out, which shows efficiency of the proposed scheme.

Keywords

Cosine and Sine (CAS) wavelet, Collocation method, Integral equations, Integro-differential equations.

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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