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

Rajae Malek | Zendy; Chérif Ziti | Zendy

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A New Numerical Method to Solve Some

{PDE}_{s}

in the Unit Ball and Comparison with the Finite Element and the Exact Solution

Author(s) -

Rajae Malek,

Chérif Ziti

Publication year - 2021

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2021/6696165

Subject(s) - mathematics , type (biology) , numerical analysis , finite element method , dirac (video compression format) , pure mathematics , mathematical analysis , ecology , physics , nuclear physics , neutrino , biology , thermodynamics

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. +e proposed method is adequate even with the singular right-hand side of type Dirac.

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