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

Volume 17 , Issue 4 , December 2015 , Pages 19-26

Authors

¹ Faculty

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.

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