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An Approach with HaarWavelet Collocation Method for Numerical Simulations of Modified KdV and Modified Burgers Equations

S. Saha Ray1, A. K. Gupta2

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

Abstract

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.

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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



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