Approximate analytical solutions of reaction–diffusion equations with exponential source term: Homotopy perturbation method (HPM)
نویسندگان
چکیده
منابع مشابه
Approximate analytical solutions for the time-dependent Emden-Fowler-type equations by Variational Homotopy Perturbation Method
In this paper, variational homotopy perturbation method (VHPM) is used to obtain analytical solution for the time-dependent Emden-Fowler type of equations with singular behavior. The advantage of this work is twofold. Firstly, the VHPM reduces the computational work. Secondly, in comparison with existing techniques, the VHPM is an improvment with regard to its accuracy and rapid convergence. To...
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and Applied Analysis 3 Accordingly, we can construct a homotopy equation in the form ü ω2u p ( u3 −ω2u ) 0. 2.6 When p 0, we have ü ω2u 0, u 0 A, u′ 0 0, 2.7 which describes the basic solution property of the original nonlinear equation, 2.3 . When p 1, 2.6 becomes the original one. So the solution procedure is to deform from the initial solution, 2.4 , to the real one. Due to one unknown param...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2011
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.04.003