Finite Difference Scheme with a Linearization Technique for Numerical Solution of (MRLW) Equation

Yıl 2019, Cilt: 5 Sayı: 1, 30 - 32, 27.06.2019

Melike Karta

Öz

In this paper, a numerical solution of
the modified regularized long wave (MRLW) equation has been showed with help a
linearization technique using Crank-Nicolson finite difference method . Eror
norms norms and
 have been calculated to show performance of
present method. Calculated values are compared with study available in the
literature.

Anahtar Kelimeler

Crank-Nicolson finite difference technique

Kaynakça

• Benjamin T.B., Bona, J.L. & Mahoney, J.L. 1972, Model equations for long waves in nonlinear dispersive media, Philosophical Transactions of the Royal Society A 272, 47-78.
• Bona, J.L. & Pryant, P.J. 1973, A mathematical model for long wave generated by wave makers in nonlinear dispersive systems, Mathematical Proceedings of the Cambridge Philosophical Society, 73: 391-405.
• Esen, A. & Kutluay, S. 2005, Application of lumped Galerkin method to the regularized long wave equation, Applied Mathematics and Computation.
• Gardner, L.R.T. & Gardner, G.A. 1990, Solitary waves of the regularized long wave equation, Journal of Computational Physics, 91: 441-459.
• Gou, B.Y. & Cao, W.M. 1988, The Fourier pseudo-spectral method with a restrain operator for the RLW equation, Journal of Computational Physics, 74: 110-126.
• Karakoç BG. Uçar Y. & Yağmurlu NM.2015, Numerical solutions of the MRLW equation by cubic B-spline Galerkin finite element method, Kuwait J. Sci. 42 (2) pp. 141-159.
• Karakoc, S.B.G. & Geyikli, T. 2013, Petrov-Galerkin finite element method for solving the MRLW equation, Mathematical Sciences, 7:25.
• Keskin, P. & Irk, D.2012, Numerical Solution of the MRLW Equation Using Finite Difference Method International Journal of Nonlinear Science,14(3), 355-361.