A New Numerical Method to Solve Some PDEs in the Unit Ball and Comparison with the Finite Element and the Exact Solution. (12th April 2021)

• Record Type: Journal Article
• Authors: Malek, Rajae; Ziti, Chérif
• Other Names: Ganji Davood D. Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2021(2021)
• Publication Date: 2021-04-12
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2021/6696165
• Languages: English
• ISSNs: 1687-9643

Abstract

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.