B-spline method for solving Bratu's problem

被引：95
|
作者：
Caglar, Hikmet [2 ]
Caglar, Nazan [1 ]
Ozer, Mehmet [3 ]
Valaristos, Antonios [4 ]
Anagnostopoulos, Antonios N. [5 ]
机构：
[1] Istanbul Kultur Univ, Dept Business Adm, TR-34156 Istanbul, Turkey
[2] Istanbul Kultur Univ, Dept Math Comp, TR-34156 Istanbul, Turkey
[3] Istanbul Kultur Univ, Dept Phys, TR-34156 Istanbul, Turkey
[4] Aristotle Univ Thessaloniki, Dept Informat, GR-54124 Thessaloniki, Greece
[5] Aristotle Univ Thessaloniki, Dept Phys, GR-54124 Thessaloniki, Greece
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 08期
关键词：
Bratu's problem; B-spline method; nonlinear boundary value problem; Laplace method; decomposition method;
D O I：
10.1080/00207160802545882
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a B-spline method for solving the one-dimensional Bratu's problem. The numerical approximations to the exact solution are computed and then compared with other existing methods. The effectiveness and accuracy of the B-spline method is verified for different values of the parameter, below its critical value, where two solutions occur.
引用
收藏
页码：1885 / 1891
页数：7
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