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A variational method for solving two-dimensional Bratu's problem.
- Source :
-
Numerical Algorithms . Aug2020, Vol. 84 Issue 4, p1589-1599. 11p. - Publication Year :
- 2020
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SPLINES
*BOUNDARY value problems
Subjects
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 84
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 144546957
- Full Text :
- https://doi.org/10.1007/s11075-020-00957-y