Research Article

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

Volume: 5 Number: 1 June 27, 2019
EN

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

Abstract

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.

Keywords

References

  1. 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.
  2. 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.
  3. Esen, A. & Kutluay, S. 2005, Application of lumped Galerkin method to the regularized long wave equation, Applied Mathematics and Computation.
  4. Gardner, L.R.T. & Gardner, G.A. 1990, Solitary waves of the regularized long wave equation, Journal of Computational Physics, 91: 441-459.
  5. 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.
  6. 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.
  7. Karakoc, S.B.G. & Geyikli, T. 2013, Petrov-Galerkin finite element method for solving the MRLW equation, Mathematical Sciences, 7:25.
  8. Keskin, P. & Irk, D.2012, Numerical Solution of the MRLW Equation Using Finite Difference Method International Journal of Nonlinear Science,14(3), 355-361.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

June 27, 2019

Submission Date

April 11, 2019

Acceptance Date

May 10, 2019

Published in Issue

Year 2019 Volume: 5 Number: 1

APA
Karta, M. (2019). Finite Difference Scheme with a Linearization Technique for Numerical Solution of (MRLW) Equation. Eastern Anatolian Journal of Science, 5(1), 30-32. https://izlik.org/JA37UG22LJ
AMA
1.Karta M. Finite Difference Scheme with a Linearization Technique for Numerical Solution of (MRLW) Equation. Eastern Anatolian Journal of Science. 2019;5(1):30-32. https://izlik.org/JA37UG22LJ
Chicago
Karta, Melike. 2019. “Finite Difference Scheme With a Linearization Technique for Numerical Solution of (MRLW) Equation”. Eastern Anatolian Journal of Science 5 (1): 30-32. https://izlik.org/JA37UG22LJ.
EndNote
Karta M (June 1, 2019) Finite Difference Scheme with a Linearization Technique for Numerical Solution of (MRLW) Equation. Eastern Anatolian Journal of Science 5 1 30–32.
IEEE
[1]M. Karta, “Finite Difference Scheme with a Linearization Technique for Numerical Solution of (MRLW) Equation”, Eastern Anatolian Journal of Science, vol. 5, no. 1, pp. 30–32, June 2019, [Online]. Available: https://izlik.org/JA37UG22LJ
ISNAD
Karta, Melike. “Finite Difference Scheme With a Linearization Technique for Numerical Solution of (MRLW) Equation”. Eastern Anatolian Journal of Science 5/1 (June 1, 2019): 30-32. https://izlik.org/JA37UG22LJ.
JAMA
1.Karta M. Finite Difference Scheme with a Linearization Technique for Numerical Solution of (MRLW) Equation. Eastern Anatolian Journal of Science. 2019;5:30–32.
MLA
Karta, Melike. “Finite Difference Scheme With a Linearization Technique for Numerical Solution of (MRLW) Equation”. Eastern Anatolian Journal of Science, vol. 5, no. 1, June 2019, pp. 30-32, https://izlik.org/JA37UG22LJ.
Vancouver
1.Melike Karta. Finite Difference Scheme with a Linearization Technique for Numerical Solution of (MRLW) Equation. Eastern Anatolian Journal of Science [Internet]. 2019 Jun. 1;5(1):30-2. Available from: https://izlik.org/JA37UG22LJ