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Numerical Algorithms
Published in: Numerical Algorithms 4/2020

18-06-2020 | Original Paper

A variational method for solving two-dimensional Bratu’s problem

Authors: A. Kouibia, M. Pasadas, R. Akhrif

Published in: Numerical Algorithms | Issue 4/2020

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Abstract

In this paper, we propose a variational method in order to solve Bratu’s problem for two dimensions in an adequate space of biquadratic spline functions. The solution is obtained by resolving a sequence of boundary value problems. We study some characterizations of the functions of such sequence and we express them as some linear combination of biquadratic spline bases functions. We finish by showing some numerical and graphical examples in order to prove the validity and the effectiveness of our method.
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Metadata
Title
A variational method for solving two-dimensional Bratu’s problem
Authors
A. Kouibia
M. Pasadas
R. Akhrif
Publication date
18-06-2020
Publisher
Springer US
Published in
Numerical Algorithms / Issue 4/2020
Print ISSN: 1017-1398
Electronic ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-020-00957-y

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