Hassan Kamil Jassim
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
E-mail: [email protected]
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
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