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Year 2019, Volume: 5 Issue: 1, 30 - 32, 27.06.2019

Abstract

References

  • 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.

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

Year 2019, Volume: 5 Issue: 1, 30 - 32, 27.06.2019

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.

References

  • 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.
There are 8 citations in total.

Details

Primary Language English
Journal Section makaleler
Authors

Melike Karta

Publication Date June 27, 2019
Published in Issue Year 2019 Volume: 5 Issue: 1

Cite

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.
AMA Karta M. Finite Difference Scheme with a Linearization Technique for Numerical Solution of (MRLW) Equation. Eastern Anatolian Journal of Science. June 2019;5(1):30-32.
Chicago Karta, Melike. “Finite Difference Scheme With a Linearization Technique for Numerical Solution of (MRLW) Equation”. Eastern Anatolian Journal of Science 5, no. 1 (June 2019): 30-32.
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 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, 2019.
ISNAD Karta, Melike. “Finite Difference Scheme With a Linearization Technique for Numerical Solution of (MRLW) Equation”. Eastern Anatolian Journal of Science 5/1 (June 2019), 30-32.
JAMA 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, 2019, pp. 30-32.
Vancouver Karta M. Finite Difference Scheme with a Linearization Technique for Numerical Solution of (MRLW) Equation. Eastern Anatolian Journal of Science. 2019;5(1):30-2.