A New Homotopy Analysis Method for Approximating the Analytic Solution of KdV Equation
نویسندگان
چکیده
منابع مشابه
Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method
1 Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor, 81310 Johor Bahru, Malaysia 2 Department of Mathematics, Faculty of Science, University of Kordofan, North Kordofan State, Elobeid 51111, Sudan 3 Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia, Johor, 81310 Johor Bahru, Malaysia 4 Department of Computer Science an...
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Homotopy Analysis Method for Solving Kdv Equations
A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach. Numerical solutions obtained by homotopy analysis method are compared with exact solution. The comparison shows that the obtained solutions are in excellent agreement.
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Here, an analytic technique, namely the homotopy analysis method (HAM), is applied to solve a generalized Hirota–Satsuma coupled KdV equation. HAM is a strong and easy-to-use analytic tool for nonlinear problems and dose not need small parameters in the equations. Comparison of the results with those of Adomian’s decomposition method (ADM) and homotopy perturbation method (HPM), has led us to s...
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ژورنال
عنوان ژورنال: Research Journal of Applied Sciences, Engineering and Technology
سال: 2014
ISSN: 2040-7459,2040-7467
DOI: 10.19026/rjaset.7.324