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.
Wavelet Based Numerical Simulation of Non Linear Klein/Sine Gordon Equation
By : K. Harish Kumar, V. Antony Vijesh
Page No: 225-244
Abstract
This paper propose a new numerical techniques for solving nonlinear Klein / Sine Gordon equation with initial and boundary condition. In this approach Chebyshev and Legendre wavelet based collocation methods have been combined with quasi-linearization. Further, to produce better accuracy, even the time derivative has also been approximated by wavelets, in contrast to the recent wavelet based methods for nonlinear partial differential equations. The presented numerical scheme has been illustrated using appropriate examples and obtained results shows that the they are better than the methods available in the recent literature.
Authors :
V. Antony Vijesh : School of Basic Sciences Indian Institute of Technology Indore Indore - 452017, India
K. Harish Kumar : School of Basic Sciences Indian Institute of Technology Indore Indore - 452017, India