Article
Numerical Solution of Partial Differential Equation by using Legendre Wavelets
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Abstract
A numerical method for solving partial differential equation is presented. The proposed method is based on Legendre wavelet in which Legendre polynomial is used. First we use the 2 -point Euler backward differentiation formula, and then we use collocation points that convert the differential equation into a system of algebraic equations. Two examples are included to show the efficiency and accuracy of the present technique.
Keywords
partial differential equation, 2 -point Euler backward differentiation formula, Legen dre wavelets collocation method
Citation
Soliman, A. F. & El-Azab, M. S. (2020). Numerical solution of partial differential equation by using legendre wavelets. Numerical and Computational Methods in Sciences and Engineering, 2(1), 27–33. https://doi.org/10.18576/ncmsel/020104
A. F. Soliman and M. S. El-Azab, “Numerical solution of partial differential equation by using legendre wavelets,” Numerical and Computational Methods in Sciences and Engineering, vol. 2, no. 1, pp. 27–33, 2020, doi: 10.18576/ncmsel/020104.
Soliman AF, El-Azab MS. Numerical solution of partial differential equation by using legendre wavelets. Numerical and Computational Methods in Sciences and Engineering. 2020;2(1):27–33. doi:10.18576/ncmsel/020104.
Soliman, A. F. and El-Azab, M. S. (2020), ‘Numerical solution of partial differential equation by using legendre wavelets’, Numerical and Computational Methods in Sciences and Engineering, 2(1), pp. 27–33. Available at: https://doi.org/10.18576/ncmsel/020104.
Soliman, A. F., and M. S. El-Azab. “Numerical Solution of Partial Differential Equation by Using Legendre Wavelets.” Numerical and Computational Methods in Sciences and Engineering, vol. 2, no. 1, 2020, pp. 27–33. https://doi.org/10.18576/ncmsel/020104.
Soliman, A. F., and M. S. El-Azab. “Numerical Solution of Partial Differential Equation by Using Legendre Wavelets.” Numerical and Computational Methods in Sciences and Engineering 2, no. 1 (2020): 27–33. https://doi.org/10.18576/ncmsel/020104.
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Published by: Engineering Journals
