Journal of Engineering and Applied Sciences

Year: 2019
Volume: 14
Issue: 12
Page No. 4204 - 4211

Numerical Solutions of the Forced Korteweg-de Vries-Burgers Equation

Authors : K.G. Tay, W.K. Tiong, Y.Y. Choy and C.T. Ong

References

Antar, N. and H. Demiray, 1999. Weakly nonlinear waves in a prestressed thin elastic tube containing a viscous fluid. Intl. J. Eng. Sci., 37: 1859-1876.
CrossRef  |  Direct Link  |  

Bratsos, A.G., 2007. The solution of the two-dimensional sine-Gordon equation using the method of lines. J. Comput. Appl. Math., 206: 251-277.
CrossRef  |  Direct Link  |  

Burgers, J.M., 1948. A mathematical model illustrating the theory of turbulence. Adv. Applied Mech., 11: 171-199.
CrossRef  |  Direct Link  |  

De Vries, G. and D.J. Korteweg, 1895. On the change of form of long waves advancing in a rectangular canal and on a new type of long stationary waves. Phil. Mag., 39: 422-443.
Direct Link  |  

Demiray, H., 2001. Solitary waves in fluid-filled elastic tubes: Weakly dispersive case. Intl. J. Eng. Sci., 39: 439-451.
CrossRef  |  Direct Link  |  

Gaik, T.K. and H. Demiray, 2008. Forced korteweg-de vries-burgers equation in an elastic tube filled with a variable viscosity fluid. Chaos Solitons Fractals, 38: 1134-1145.
CrossRef  |  Direct Link  |  

Gaik, T.K., 2006. Forced Korteweg-de Vries equation in an elastic tube filled with an inviscid fluid. Intl. J. Eng. Sci., 44: 621-632.
CrossRef  |  Direct Link  |  

Gaik, T.K., Y.Y. Choy, W.K. Tionng and C.T. Ong, 2018. Numerical solutions of the dissipative nonlinear Schrodinger equation with variable coefficient arises in elastic tube. Dyn. Continuous Discrete Impulsive Syst. Ser. B. Appl. Algorithms, 25: 53-61.

Hamdi, S., W.H. Enright, Y. Ouellet and W.E. Schiesser, 2005. Method of lines solutions of the extended Boussinesq equations. J. Comput. Appl. Math., 183: 327-342.
CrossRef  |  Direct Link  |  

Helal, M.A. and M.S. Mehanna, 2006. A comparison between two different methods for solving KdV-burgers equation. Chaos, Solitons Fractails, 28: 320-326.
CrossRef  |  Direct Link  |  

Johnson, R.S., 1972. Shallow water waves on a viscous fluid-the undular bore. Phys. Fluids, 15: 1693-1699.
CrossRef  |  Direct Link  |  

Koto, T., 2004. Method of lines approximations of delay differential equations. Comput. Math. Appl., 48: 45-59.
CrossRef  |  Direct Link  |  

Ozis, T. and S. Ozer, 2006. A simple similarity-transformation-iterative scheme applied to Korteweg-de Vries equation. Applied Math. Comput., 173: 19-32.
CrossRef  |  

Saucez, P., A.V. Wouwer, W.E. Schiesser and P. Zegeling, 2004. Method of lines study of nonlinear dispersive waves. J. Comput. Appl. Math., 168: 413-423.
CrossRef  |  Direct Link  |  

Schiesser, W.E., 1994. Method of lines solution of the Korteweg-de Vries equation. Comput. Math. Appl., 28: 147-154.
CrossRef  |  Direct Link  |  

Tay, K.G., W.K. Tiong, Y.Y. Choy and C.T. Ong, 2017. Method of lines and pseudospectral solutions of the forced Korteweg-de Vries equation with variable coefficients arises in elastic tube. Intl. J. Pure Appl. Math., 116: 985-999.
CrossRef  |  Direct Link  |  

Tay, K.G., Y.Y. Choy, W.K. Tiong, C.T. Ong and N.M. Yazid, 2017. Numerical solutions of the forced perturbed korteweg-de vries equation with variable coefficients. Intl. J. Pure Appl. Math., 112: 557-569.
CrossRef  |  Direct Link  |  

Zabusky, N.J. and M.D. Kruskal, 1965. Interaction of solitons in a collisionless plasma and the recurrence of initial states. Phys. Rev. Let., 15: 240-243.
CrossRef  |  Direct Link  |  

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