Local fractional Laplace variational iteration method for solving diffusion and wave equations on cantor sets within local fractional operators.
Jassim, Hassan Kamil Ünlü, Canan Moshokoa, Seithuti Philemon Khalique, Chaudry Masood
Jassim, Hassan Kamil
Ünlü, Canan
Moshokoa, Seithuti Philemon
Khalique, Chaudry Masood
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Abstract
The local fractional Laplace variational iteration method (LFLVIM) is employed to handle the diffusion and wave equations on Cantor set. The operators are taken in the local sense. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.
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Date
2015-01-26
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Hindawi Publishing Corporation
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Keywords
Fractional laplace, Variational iteration method, Local fractional operators