Title of article
Numerical solution of fifth order KdV equations by homotopy perturbation method
Author/Authors
Ghasemi, M. shahrekord university - Faculty of Science - Department of Applied Mathematics, شهركرد, ايران , Fardi, M. iran university of science and technology - Department of Mathematics, تهران, ايران , Tavassoli Kajani, M. islamic azad university - Department of Mathematics, ايران , Khoshsiar Ghaziani, R. shahrekord university - Faculty of Science - Department of Applied Mathematics, شهركرد, ايران
From page
169
To page
181
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.
Keywords
Homotopy perturbation method , Sawada , Kotera equation , Lax’s fifth order KdV equation , Solitary , wave solution.
Journal title
Mathematical Sciences
Journal title
Mathematical Sciences
Record number
2568878
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