An analytical approach to the sine–Gordon equation using the modified homotopy perturbation method
نویسندگان
چکیده
منابع مشابه
The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation
In recent years, numerous approaches have been applied for finding the solutions of functional equations. One of them is the optimal homotopy asymptotic method. In current paper, this method has been applied for obtaining the approximate solution of Fisher equation. The reliability of the method will be shown by solving some examples of various kinds and comparing the obtained outcomes with the ...
متن کاملAnalytical Approach to the sine-Gordon Equation using Homotopy Perturbation Method
In this paper we consider the initial value problem for the sineGordon equation by using the homotopy perturbation method. The advantage of this method that is its ability and flexibility to provide the analytical or approximate solutions to linear and nonlinear equations without linearization or discretization makes it reliable for solving the sine-Gordon equation. The numerical results are pr...
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Variational iteration method and homotopy perturbation method are introduced to solve the Kawahara equation. Comparison of the obtained results with the numerical solution shows that both methods lead to remarkably accurate solutions. The main property of the both methods is its flexibility and ability to solve nonlinear equations accurately and conveniently.
متن کاملHomotopy Perturbation Method for the Generalized Fisher’s Equation
More recently, Wazwaz [An analytic study of Fisher’s equation by using Adomian decomposition method, Appl. Math. Comput. 154 (2004) 609–620] employed the Adomian decomposition method (ADM) to obtain exact solutions to Fisher’s equation and to a nonlinear diffusion equation of the Fisher type. In this paper, He’s homotopy perturbation method is employed for the generalized Fisher’s equation to o...
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In the present article, we use modified homotopy perturbation method (HPM) to find approximate analytical solution of three-dimensional time fractional microscale heat transport equation. This transport equation is at first converted into the equation of two functions. First one have both, the first order fractional time derivative and second order space derivatives, while second one has only s...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2009
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.03.071