NUMERICAL SOLUTION OF FIFTH ORDER KDV EQUATIONS BY HOMOTOPY PERTURBATION METHOD

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GHASEMI M.; FARDI M.; TAVASSOLI KAJANI M.; KHOSHSIAR GHAZIANI R.

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Paper Information

Journal: MATHEMATICAL SCIENCES Year:2011 | Volume:5 | Issue:2 Page(s): 169-181

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Title

NUMERICAL SOLUTION OF FIFTH ORDER KDV EQUATIONS BY HOMOTOPY PERTURBATION METHOD

Author(s)

GHASEMI M. | FARDI M. | TAVASSOLI KAJANI M. | KHOSHSIAR GHAZIANI R. | Issue Writer Certificate

Keywords

HOMOTOPY PERTURBATION METHOD

SAWADA-KOTERA EQUATION

LAX’S FIFTH ORDER KDV EQUATION

SOLITARY-WAVE SOLUTION

Abstract

In this paper, an application of HOMOTOPY PERTURBATION METHOD is applied to finding the solutions of a generalized fifth order KdV (gfKdV) equation. Then we obtain the exact SOLITARY-WAVE SOLUTIONs and numerical solutions of the gfKdV equation for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the gfKdV equation.

Cites

PERIODIC SOLUTION FOR STRONGLY NONLINEAR VIBRATION SYSTEMS BY USING THE HOMOTOPY ANALYSIS METHOD

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APA: Copy

GHASEMI, M., FARDI, M., TAVASSOLI KAJANI, M., & KHOSHSIAR GHAZIANI, R.. (2011). NUMERICAL SOLUTION OF FIFTH ORDER KDV EQUATIONS BY HOMOTOPY PERTURBATION METHOD. MATHEMATICAL SCIENCES, 5(2), 169-181. SID. https://sid.ir/paper/322542/en

Vancouver: Copy

GHASEMI M., FARDI M., TAVASSOLI KAJANI M., KHOSHSIAR GHAZIANI R.. NUMERICAL SOLUTION OF FIFTH ORDER KDV EQUATIONS BY HOMOTOPY PERTURBATION METHOD. MATHEMATICAL SCIENCES[Internet]. 2011;5(2):169-181. Available from: https://sid.ir/paper/322542/en

IEEE: Copy

M. GHASEMI, M. FARDI, M. TAVASSOLI KAJANI, and R. KHOSHSIAR GHAZIANI, “NUMERICAL SOLUTION OF FIFTH ORDER KDV EQUATIONS BY HOMOTOPY PERTURBATION METHOD,” MATHEMATICAL SCIENCES, vol. 5, no. 2, pp. 169–181, 2011, [Online]. Available: https://sid.ir/paper/322542/en

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