Numerical analysis of time-fractional diffusion equations via a novel approach
type: Item
instance of: scholarly article
title: Numerical analysis of time-fractional diffusion equations via a novel approach
zbMATH Open document ID: 1473.65255
DOI: 10.1155/2021/9945364
author: Yanyan Li
published in: Journal of Function Spaces
publication date: 2021-08-25T00:00:00Z
review text: Summary: The aim of this paper is a new semianalytical technique called the variational iteration transform method for solving fractional-order diffusion equations. In the variational iteration technique, identifying of the Lagrange multiplier is an essential rule, and variational theory is commonly used for this purpose. The current technique has the edge over other methods as it does not need extra parameters and polynomials. The validity of the proposed method is verified by considering some numerical problems. The solution achieved has shown that the better accuracy of the proposed technique. This paper proposes a simpler method to calculate the multiplier using the Shehu transformation, making a valuable technique to researchers dealing with various linear and nonlinear problems.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7385312
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9945364
OpenAlex ID: W3163974139
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description: scientific article; zbMATH DE number 7385312