Local fractional Laplace variational iteration method for solving diffusion and wave equations on Cantor sets within local fractional operators
type: Item
instance of: scholarly article
title: Local fractional Laplace variational iteration method for solving diffusion and wave equations on Cantor sets within local fractional operators
zbMATH Open document ID: 1394.65119
DOI: 10.1155/2015/309870
author: Hassan Kamil Jassim
author: Canan Ünlü
author: S. P. Moshokoa
author: Chaudry Masood Khalique
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6926028
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/309870
OpenAlex ID: W1516419256
Wikidata QID: Q59117955
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description: scientific article; zbMATH DE number 6926028