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.

DOI: https://doi.org/10.17656/jzs.10519

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.

Key Words:

Helmholtz equation;

Coupled Helmholtz

Equation; Local

fractional variational

iteration method;

Yang-Laplace

transform; Local

fractional operator

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