Article
Solving Poisson’s Equations with fractional order using Haarwavelet
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Abstract
The algebraic structure of the linear system appears in solving fractional order Poisson’s equation by Haar wavelet collocation approach is considered. The fractional derivative is described in the Caputo sense. Comparison with the classical integer case as a limiting process is illustrated. Numerical comparison is made between the solution using the Haar wavelet method and the finite difference method. The results confirms the accuracy for the Haar wavelet method.
Keywords
Fractional Poisson’s equation, Finite difference, Wavelet, Haar Wavelet, 26A33, 46F12, 65R10
Citation
Youssef, I. K. & El Dewaik, M. H. (2017). Solving poisson’s equations with fractional order using haarwavelet. Applied Mathematics and Nonlinear Sciences, 2(1), 271–284. https://doi.org/10.21042/AMNS.2017.1.00023
I. K. Youssef and M. H. El Dewaik, “Solving poisson’s equations with fractional order using haarwavelet,” Applied Mathematics and Nonlinear Sciences, vol. 2, no. 1, pp. 271–284, 2017, doi: 10.21042/AMNS.2017.1.00023.
Youssef IK, El Dewaik MH. Solving poisson’s equations with fractional order using haarwavelet. Applied Mathematics and Nonlinear Sciences. 2017;2(1):271–284. doi:10.21042/AMNS.2017.1.00023.
Youssef, I. K. and El Dewaik, M. H. (2017), ‘Solving poisson’s equations with fractional order using haarwavelet’, Applied Mathematics and Nonlinear Sciences, 2(1), pp. 271–284. Available at: https://doi.org/10.21042/AMNS.2017.1.00023.
Youssef, I. K., and M. H. El Dewaik. “Solving Poisson’s Equations with Fractional Order Using Haarwavelet.” Applied Mathematics and Nonlinear Sciences, vol. 2, no. 1, 2017, pp. 271–284. https://doi.org/10.21042/AMNS.2017.1.00023.
Youssef, I. K., and M. H. El Dewaik. “Solving Poisson’s Equations with Fractional Order Using Haarwavelet.” Applied Mathematics and Nonlinear Sciences 2, no. 1 (2017): 271–284. https://doi.org/10.21042/AMNS.2017.1.00023.
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Published by: Engineering Journals
