The fractional variational iteration method improved with the Adomian series
نویسندگان
چکیده
منابع مشابه
Solution of Fractional Diffusion Equation with a Moving Boundary Condition by Variational Iteration Method and Adomian Decomposition Method
In this paper, the approximate analytic solutions of the mathematical model of time fractional diffusion equation (FDE) with a moving boundary condition are obtained with the help of variational iteration method (VIM) and Adomian decomposition method (ADM). By using boundary conditions, the explicit solutions of the diffusion front and fractional releases in the dimensionless form have been der...
متن کاملSolving time-fractional chemical engineering equations by modified variational iteration method as fixed point iteration method
The variational iteration method(VIM) was extended to find approximate solutions of fractional chemical engineering equations. The Lagrange multipliers of the VIM were not identified explicitly. In this paper we improve the VIM by using concept of fixed point iteration method. Then this method was implemented for solving system of the time fractional chemical engineering equations. The ob...
متن کاملFractional variational iteration method and its application
Article history: Received 26 March 2010 Accepted 9 April 2010 Available online 18 April 2010 Communicated by R. Wu
متن کاملLocal Fractional Variational Iteration Method for
In this article, the local fractional variational iteration method is proposed to solve nonlinear partial differential equations within local fractional derivative operators. To illustrate the ability and reliability of the method, some examples are illustrated. A comparison between local fractional variational iteration method with the other numerical methods is given, revealing that the propo...
متن کاملA comparison between the variational iteration method and Adomian decomposition method for the FitzHugh- Nagumo equations
The pioneering work of Hodgkin and Huxley (1952), and subsequent investigations, has established that good mathematical models for the conduction of nerve impulses along an axon can be given. These models take the form of a system of ordinary differential equations, coupled to a diffusion equation. Simpler models, which seem to describe the qualitative behavior, have been proposed by FitzHugh a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2012
ISSN: 0893-9659
DOI: 10.1016/j.aml.2012.06.007