Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators

Hassan Kamil Jassim, Canan Ünlü, Seithuti Philemon Moshokoa and Chaudry Masood Khalique

Mathematical Problems in Engineering, 2015, vol. 2015, 1-9

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:309870

DOI: 10.1155/2015/309870

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