Modified wavelet full-approximation scheme for the numerical solution of nonlinear Volterra integral and integro-differential equations. (English) Zbl 1380.65460
Summary: 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.
MSC:
| 65T60 | Numerical methods for wavelets |
| 65R20 | Numerical methods for integral equations |
| 45D05 | Volterra integral equations |
Keywords:
Daubechies wavelet; filter coefficients; full-approximation scheme; wavelet full-approximation scheme; modified wavelet full-approximation scheme; nonlinear Volterra integral and integro-differential equationsSoftware:
WesselingReferences:
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