The approximate solutions of three-dimensional diffusion and wave equations within local fractional derivative operator
type: Item
instance of: scholarly article
title: The approximate solutions of three-dimensional diffusion and wave equations within local fractional derivative operator
zbMATH Open document ID: 1470.35395
DOI: 10.1155/2016/2913539
author: Hassan Kamil Jassim
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: We used the local fractional variational iteration transform method (LFVITM) coupled by the local fractional Laplace transform and variational iteration method to solve three-dimensional diffusion and wave equations with local fractional derivative operator. This method has Lagrange multiplier equal to minus one, which makes the calculations more easily. The obtained results show that the presented method is efficient and yields a solution in a closed form. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new method.
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6929355
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2913539
OpenAlex ID: W2544259110
Wikidata QID: Q59121516
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description: scientific article; zbMATH DE number 6929355