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Journal of Combinatorics, Information & System Sciences : (A Quarterly International Scientific Journal)

Published in Association with Forum for Interdisciplinary Mathematics

Current Volume: 47 (2022 )

ISSN: 0250-9628

e-ISSN: 0976-3473

Periodicity: Quarterly

Month(s) of Publication: March, June, September & December

Subject: Mathematics

DOI: 10.32381/JCISS

Online Access is free for all life members of JCISS.

400

Legendre Wavelet based Solution to Burgers’ and Coupled Burgers’ Equation

By : K. Harish Kumar, Ram Jiwari

Page No: 135-150

Abstract: In this paper a quasilinearization based Legendre wavelet numerical scheme is pro posed for time dependent one dimensional Burgers’ and coupled Burgers’ equation. The present method is completely independent of time disctrization contrast to the recent literature for time disctrization based on wavelet scheme for Burgers’ and coupled Burgers’ equation. One of the advantages of the proposed scheme is that they capture the physical behavior of Burgers’ and coupled Burgers’ equations efficiently for large Reynolds numbers with less number of grid points. Further, straightforward numerical implementation makes them an effective alternative to the existing schemes.

Authors :
K. Harish Kumar
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee - 247667, India.

Ram Jiwari
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee - 247667, India.
 

DOI: https://doi.org/10.32381/JCISS.2019.44.1-4.8

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