Publication: B-Spline Method For Solving Bratu's Problem
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Date
2010
Authors
Valaristos, Antonios
Anagnostopoulos, Antonios N.
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Ltd, 4 Park Square, Milton Park, Abingdon Ox14 4Rn, Oxon, England
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.
Description
Keywords
Bratu's problem, B-spline method, nonlinear boundary value problem, Laplace method, decomposition method, boundary-value-problems, gelfand problem, equations, doğrusal olmayan sınır değer problemi, Laplace yöntemi, ayrışma yöntemi, Sınır-değer-problemleri, Gelfand sorunu, denklemler