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

页码：1885 / 1891

页数：7

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