HPM for Solving the Time-fractional Coupled Burgers Equations
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 4
Abstract
In this paper, the homotopy perturbation method is implemented to derive the explicit approximate solutions for the time-fractional coupled Burger's equations. The including fractional derivative is in the Caputo sense. Special attention is given to prove the convergence of the method. The results are compared with those obtained by the exact at special cases of the fractional derivatives. The results reveal that the proposed method is very effective and simple.
Authors and Affiliations
Khadijah Abu Alnaja
Keywords
Related Articles
- EP ID EP651740
- DOI 10.24297/jam.v12i4.350
- Views 153
- Downloads 0
An iterative method for solving boundary value problems for second order differential equations
The purpose of this paper is to investigate the application of the Adomian decomposition method (ADM) for solving boundary value problems for second-order differential equations with Robin boundary conditions. We first r...
Matrices of inversions for permutations: Recognition and Applications
This work provides a criterion for a binary strictly upper triangle matrices to be a matrix of inversions for a permutation. It admits an invariant matrices for permutations to being well recognizable. Then it provides a...
Spectral relationships of Carleman integral equation in some different domains
In this paper, the potential theory method (PTM) is used, in some different domains, to obtain the solution of Fredholm integral equation (FIE) of the first kind with Carleman kernel. The solution is obtained in the form...
On the Zero Divisor Graphs of a Class of Commutative Completely Primary Finite Rings
Let R be a Completely Primary Finite Ring with a unique maximal ideal Z(R)), satisfying ((Z(R))n−1 ̸= (0) and (Z(R))n = (0): The structures of the units some classes of such rings have been determined. In this paper,...
On Totally (p,k) Quasiposinormal Operator
In this paper we study some properties of totally (p,k) - quasiposinormal operator. And also we show that Weyl's theorem and algebraically Weyl's theorem holds for totally (p,k) -quasiposinormal operator.