A New Numerical Method to Solve Some in the Unit Ball and Comparison with the Finite Element and the Exact Solution

Rajae Malek and Chérif Ziti

International Journal of Differential Equations, 2021, vol. 2021, 1-15

Abstract:

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.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJDE/2021/6696165.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJDE/2021/6696165.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:6696165

DOI: 10.1155/2021/6696165

Access Statistics for this article

More articles in International Journal of Differential Equations from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().