A New Numerical Method to Solve Some PDE s in the Unit Ball and Comparison with the Finite Element and the Exact Solution-Reference-Cited by-同舟云学术

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

Published:2021-04-09 Issue: Volume:2021 Page:1-15
ISSN:1687-9651
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Malek Rajae¹^ORCID,Ziti Chérif¹^ORCID

Affiliation:

1. Moulay Ismail University of Meknes, Faculty of Sciences, EDPCS, Meknes, Morocco

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2021/6696165.pdf

Reference21 articles.

1. A New Entropic Riemann Solver of Conservation Law of Mixed Type Including Ziti’s δ-Method with some Experimental Tests

2. A NEW NUMERICAL METHOD FOR THE INTEGRAL APPROXIMATION AND SOLVING THE DIFFERENTIAL PROBLEMS: NON-OSCILLATING SCHEME, DETECTING THE SINGULARITY IN ONE AND SEVERAL DIMENSIONS

3. Random walk with persistence and external bias

4. Initiation of slime mold aggregation viewed as an instability

5. New Interior Penalty Discontinuous Galerkin Methods for the Keller–Segel Chemotaxis Model

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