A new numerical method to solve some \(\mathrm{PDE_s}\) in the unit ball and comparison with the finite element and the exact solution
type: Item
instance of: scholarly article
title: A new numerical method to solve some \(\mathrm{PDE_s}\) in the unit ball and comparison with the finite element and the exact solution
DOI: 10.1155/2021/6696165
author: Rajae Malek
author: Chérif Ziti
published in: International Journal of Differential Equations
publication date: 2022-01-06T00:00:00Z
review text: Summary: In this paper, we give a new strategy to extend a numerical approximation method for two-dimensional reaction-diffusion problems. We present numerical results for this type of equations with a known analytical solution to qualify errors for the new method. We compare the results obtained using this approach to the standard finite element approach. The proposed method is adequate even with the singular right-hand side of type Dirac.
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 35Kxx
zbMATH DE Number: 7453307
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6696165
OpenAlex ID: W3154014090
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description: scientific article; zbMATH DE number 7453307