Publication: B-Spline Method For Solving Bratu's Problem
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Valaristos, Antonios
Anagnostopoulos, Antonios N.
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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.