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A New Approximate Analytical Solution of Kuramoto – Sivashinsky Equation Using Homotopy Analysis Method |
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PP: 267-271 |
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Author(s) |
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Muhammet Kurulay,
Aydin Secer,
Ali Akinlar,
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Abstract |
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| In this paper, Homotopy Analysis Method (HAM) is applied to obtain approximate analytical solution of modified
Kuramoto–Sivashinsky (KS) equation. HAM provides a simple way to adjust and control the convergence region of the series solution
by introducing several parameters, namely, the auxiliary parameter, h, the auxiliary function, H(x; t), the initial guess, u0(x; t)
and the auxiliary linear operator, L; as stated in [1]. The obtained results show that HAM yields approximate analytical solutions which
are quite close to the exact solution of KS equation, which proves the strength of HAM. |
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