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Journal of Advances in Mathematics and Computer Science, ISSN: 2456-9968, ISSN: 2231-0851 (Past),Vol.: 30, Issue.: 1


Mathematical and Numerical Analysis for Neumann Boundary Value Problem of the Poisson Equation


Germain Nguimbi1, Diogène Vianney Pongui Ngoma1*, Vital Delmas Mabonzo2, Bienaime Bervi Bamvi Madzou3 and Grâce Lionel Ngoma Bouanga2
1Ecole Nationale Suprieure Polytechnique, Marien Ngouabi University, Brazzaville, Congo.
2Ecole Normale Suprieure, Marien Ngouabi University, Brazzaville, Congo.
3Faculty of Sciences and Technics, Marien Ngouabi University, Brazzaville, Congo.

Article Information
(1) Dr. Francisco Welington de Sousa Lima, Professor, Dietrich Stauffer Laboratory for Computational Physics, Departamento de Fsica, Universidade Federal do Piaui, Teresina, Brazil.
(1) Lanlege David Ibitayo, Federal University Lokoja, Nigeria.
(2) Erdal Unluyol, Ordu Unuversity, Turkey.
(3) E. O. Omole, Joseph Ayo Babalola University, Nigeria.
Complete Peer review History: http://www.sciencedomain.org/review-history/27994


This paper falls within the framework of mathematical modelling and that of numerical analysis. The analysis to be developed through this paper deals with three Neumann boundary value problmes: one pure, one modified and the other with conduction term for the Poisson equation. We introduced Dirichlet and Neumann problems with conduction valuables to prove the continuity in comparison with conduction term of the Neumann problem. We demonstrated the existence and uniqueness of the modified Neumann problem. For simplicity and concreteness, it was appropriate to choose the finite element and classical methods to find the numerical and the explicit solutions, respectively so that numerical simulations were implemented in Scilab.

Keywords :

Neumann's problem; conduction term; continuity; nite element method; numerical simulations.

Full Article - PDF    Page 1-13

DOI : 10.9734/JAMCS/2019/45069

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