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An Approach with HaarWavelet Collocation Method for Numerical Simulations of Modified KdV and Modified Burgers Equations
National Institute of Technology, Department of Mathematics, Rourkela-769008, India. E-mail: santanusaharay@yahoo.com
National Institute of Technology, Department of Mathematics, Rourkela-769008, India.
Computer Modeling in Engineering & Sciences 2014, 103(5), 315-341. https://doi.org/10.3970/cmes.2014.103.315
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In this paper, an efficient numerical schemes based on the Haar wavelet method are applied for finding numerical solution of nonlinear third-order modified Korteweg-de Vries (mKdV) equation as well as modified Burgers' equations. The numerical results are then compared with the exact solutions. The accuracy of the obtained solutions is quite high even if the number of calculation points is small.Keywords
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APA Style
Ray, S.S., Gupta, A.K. (2014). An approach with haarwavelet collocation method for numerical simulations of modified kdv and modified burgers equations. Computer Modeling in Engineering & Sciences, 103(5), 315-341. https://doi.org/10.3970/cmes.2014.103.315
Vancouver Style
Ray SS, Gupta AK. An approach with haarwavelet collocation method for numerical simulations of modified kdv and modified burgers equations. Comput Model Eng Sci. 2014;103(5):315-341 https://doi.org/10.3970/cmes.2014.103.315
IEEE Style
S. S. Ray and A. K. Gupta, “An Approach with HaarWavelet Collocation Method for Numerical Simulations of Modified KdV and Modified Burgers Equations,” Comput. Model. Eng. Sci., vol. 103, no. 5, pp. 315-341, 2014. https://doi.org/10.3970/cmes.2014.103.315
Copyright © 2014 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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