A Modified Techniques of Fractional-Order Cauchy-Reaction Diffusion Equation via Shehu Transform
نویسندگان
چکیده
In this article, the iterative transformation method and homotopy perturbation are applied to calculate solution of time-fractional Cauchy-reaction diffusion equations. technique, Shehu is combined iteration techniques. Four examples examined show validation efficacy present methods. The approximate solutions achieved by suggested methods indicate that approach easy apply given problems. Moreover, in series form has desire rate convergence provides closed-form solutions. It noted procedure can be modified other directions fractional order These current technique very straightforward helpful perform sciences.
منابع مشابه
A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
In this paper, a new Sumudu transform iterative method is established and successfully applied to find the approximate analytical solutions for time-fractional Cauchy reaction-diffusion equations. The approach is easy to implement and understand. The numerical results show that the proposed method is very simple and efficient.
متن کاملNumerical Solution of Caputo-Fabrizio Time Fractional Distributed Order Reaction-diffusion Equation via Quasi Wavelet based Numerical Method
In this paper, we derive a novel numerical method to find out the numerical solution of fractional partial differential equations (PDEs) involving Caputo-Fabrizio (C-F) fractional derivatives. We first find out the approximation formula of C-F derivative of function tk. We approximate the C-F derivative in time with the help of the Legendre spectral method and approximation formula o...
متن کاملApproximate Analytical Solution of Time-fractional order Cauchy-Reaction Diffusion equation
The objective of this article is to carry out an approximate analytical solution of the time fractional order Cauchy-reaction diffusion equation by using a semi analytical method referred as the fractional-order reduced differential transform method (FRDTM). The fractional derivative is illustrated in the Caputo sense. The FRDTM is very efficient and effective powerful mathematical tool for sol...
متن کاملSolution of Higher Order Nonlinear Time-Fractional Reaction Diffusion Equation
The approximate analytical solution of fractional order, nonlinear, reaction differential equations, namely the nonlinear diffusion equations, with a given initial condition, is obtained by using the homotopy analysis method. As a demonstration of a good mathematical model, the present article gives graphical presentations of the effect of the reaction terms on the solution profile for various ...
متن کاملNumerical techniques for the variable order time fractional diffusion equation
(2012) Numerical techniques for the variable order time fractional diffusion equation. NOTICE: this is the author's version of a work that was accepted for publication in Applied Mathematics and Computation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. ...
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: Journal of function spaces
سال: 2021
ISSN: ['2314-8896', '2314-8888']
DOI: https://doi.org/10.1155/2021/5726822