Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations
نویسندگان
چکیده
منابع مشابه
Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations
This paper develops amodified variational iterationmethod coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs).The approximate solutions of PDEs are calculated in the form of a serieswhose components are computed by applying a recursive relation. Block pulse functions are used to calculate the Legendre wave...
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We present a new numerical method to get the approximate solutions of fractional differential equations. A new operational matrix of integration for fractional-order Legendre functions (FLFs) is first derived. Then a modified variational iteration formula which can avoid "noise terms" is constructed. Finally a numerical method based on variational iteration method (VIM) and FLFs is developed fo...
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Legendre Wavelets for Solving Fractional Differential Equations
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In the research, nonlinear volterra partial integro-differential equation is considered. This paper compares the Homotopy Perturbation Method (HPM) with Variational Iteration Method (VIM) for solving this equation. Compared with the Adomian Decomposition Method (ADM), the methods used for this equation need less work. The results of applying these methods show the simplicity and efficiency of t...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2013
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2013/157956