Numerical algorithm based on Adomian decomposition for fractional differential equations

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Solution of Fractional Integro-differential Equations by Adomian Decomposition Method

Fractional integro-differential equations arise in the mathematical modelling of various physical phenomena like heat conduction in materials with memory, diffusion processes etc. In this paper, we have taken the fractional integro-differential equation of type Dy(t) = a(t)y(t) + f(t) + ∫ t

متن کامل

Study on efficiency of the Adomian decomposition method for stochastic differential equations

Many time-varying phenomena of various fields in science and engineering can be modeled as a stochastic differential equations, so investigation of conditions for existence of solution and obtain the analytical and numerical solutions of them are important. In this paper, the Adomian decomposition method for solution of the stochastic differential equations are improved.  Uniqueness and converg...

متن کامل

A Meshless Method for Numerical Solution of Fractional Differential Equations

In this paper, a technique generally known as meshless numerical scheme for solving fractional dierential equations isconsidered. We approximate the exact solution by use of Radial Basis Function(RBF) collocation method. This techniqueplays an important role to reduce a fractional dierential equation to a system of equations. The numerical results demonstrate the accuracy and ability of this me...

متن کامل

Using operational matrix for numerical solution of fractional differential equations

In this article, we have discussed a new application of modification of hat functions on nonlinear multi-order fractional differential equations. The operational matrix of fractional integration is derived and used to transform the main equation to a system of algebraic equations. The method provides the solution in the form of a rapidly convergent series. Furthermore, error analysis of the pro...

متن کامل

Adomian Decomposition Method for Certain Space-Time Fractional Partial Differential Equations

The fractionalspace and time, as ageneralization of telegraph, diffusion and the waveequations, are considered. The (direct case and the modified cases) of Adomiandecompositionmethod are adopted to treat the certain space-time fractional partial differentialequations, in thispaper, four distinguished cases willbemodified and applied to solvedifferent certain space-timefractionalorder (homogeneo...

متن کامل

ذخیره 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: Computers & Mathematics with Applications

سال: 2009

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2009.03.079