B-spline method for solving Bratu's problem

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Caglar H., Caglar N., ÖZER M., Valaristos A., Anagnostopoulos A. N.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, vol.87, no.8, pp.1885-1891, 2010 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 87 Issue: 8
• Publication Date: 2010
• Doi Number: 10.1080/00207160802545882
• Journal Name: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1885-1891
• Istanbul Kültür University Affiliated: Yes

Abstract

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.