B-spline method for solving Bratu's problem

Authors:
Hikmet Caglar;Nazan Caglar;Mehmet Ozer;Antonios Valarıstos;Antonios N. Anagnostopoulos
Affiliations:
Department of Mathematics-Computer, Istanbul Kultur University,;Department of Business Administration, Istanbul Kultur University,;Department of Physics, Istanbul Kultur University,;Department of Informatics, Aristotle University of Thessaloniki,;Department of Physics, Aristotle University of Thessaloniki,
Venue:
International Journal of Computer Mathematics
Year:
2010

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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.