Local Fractional Variational Iteration Transform Method for Solving Couple Helmholtz Equations 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



Original: 15.08.2015; Revised: 23.12.2015; Accepted: 30.01.2015; Published online: 20.06.2016


DOI Link: 
ABSTRACT

In this paper, we investigate the solution of Helmholtz  and coupled Helmholtz equations in two dimensional case, involving local fractional variation  iteration method and Yang-Laplace transform which is called local fractional Variational iteration transform method (LFVITM). This method has Lagrange multiplier equal to -1, which makes the calculations more easily .The obtained result shows that the proposed method is efficient and accurate.
 


KEYWORDS

Helmholtz equation;

Coupled Helmholtz Equation;

Local fractional variational iteration method;

Yang-Laplace transform;

Local fractional operator 


FULL TEXT: