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  • Author: S.C. Shiralashetti x
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S. C. Shiralashetti and R. A. Mundewadi

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.

Open access

S.C. Shiralashetti, H. S. Ramane, R.A. Mundewadi and R.B. Jummannaver

Abstract

In this paper, a comparative study on Haar wavelet method (HWM) and Hosoya Polynomial method(HPM) for the numerical solution of Fredholm integral equations. Illustrative examples are tested through the error analysis for efficiency. Numerical results are shown in the tables and figures.