The Approximate Solutions of Helmholtz and Coupled Helmholtz Equations on Cantor Sets within Local Fractional Operator

The Approximate Solutions of Helmholtz  and Coupled Helmholtz  Equations on Cantor Sets within Local Fractional Operator


Hassan Kamil Jassim 


Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq. 

E-mail: hassan.kamil28@yahoo.com




Article info

Original: 24 Mar 2015
Revised: 10 Apr. 2015
Accepted:31 May 2015
Published online:  
20 Dec. 2015

Key Words: 
Helmholtz equation;
coupled Helmholtz equations,
Local fractional operator.
 
     


Abstract

In this paper, we proposed local fractional Laplace decomposition method to solve the Helmholtz and coupled Helmholtz equations on Cantor sets within local fractional operator. The approximate solutions are obtained by using the local fractional Laplace decomposition method, which is the coupling method of local fractional Laplace transform and Adomian  decomposition method. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new method. 





Ċ
Kewan Omer,
Dec 22, 2015, 1:16 PM