Article
Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations
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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.
Keywords
Daubechies wavelet, filter coefficients, full-approximation scheme, wavelet full-approximation scheme, modified wavelet full-approximation scheme, nonlinear Volterra integral and integro-differential equations., 65T60, 97N40, 65R20, 45D05
Citation
Shiralashetti, S. C. & Mundewadi, R. A. (2016). Modified wavelet full-approximation scheme for the numerical solution of nonlinear volterra integral and integro-differential equations. Applied Mathematics and Nonlinear Sciences, 1(2), 529–546. https://doi.org/10.21042/AMNS.2016.2.00042
S. C. Shiralashetti and R. A. Mundewadi, “Modified wavelet full-approximation scheme for the numerical solution of nonlinear volterra integral and integro-differential equations,” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 2, pp. 529–546, 2016, doi: 10.21042/AMNS.2016.2.00042.
Shiralashetti SC, Mundewadi RA. Modified wavelet full-approximation scheme for the numerical solution of nonlinear volterra integral and integro-differential equations. Applied Mathematics and Nonlinear Sciences. 2016;1(2):529–546. doi:10.21042/AMNS.2016.2.00042.
Shiralashetti, S. C. and Mundewadi, R. A. (2016), ‘Modified wavelet full-approximation scheme for the numerical solution of nonlinear volterra integral and integro-differential equations’, Applied Mathematics and Nonlinear Sciences, 1(2), pp. 529–546. Available at: https://doi.org/10.21042/AMNS.2016.2.00042.
Shiralashetti, S. C., and R. A. Mundewadi. “Modified Wavelet Full-approximation Scheme for the Numerical Solution of Nonlinear Volterra Integral and Integro-differential Equations.” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 2, 2016, pp. 529–546. https://doi.org/10.21042/AMNS.2016.2.00042.
Shiralashetti, S. C., and R. A. Mundewadi. “Modified Wavelet Full-approximation Scheme for the Numerical Solution of Nonlinear Volterra Integral and Integro-differential Equations.” Applied Mathematics and Nonlinear Sciences 1, no. 2 (2016): 529–546. https://doi.org/10.21042/AMNS.2016.2.00042.
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Published by: Engineering Journals
