B-spline method for solving Bratu's problem


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) identifier identifier

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.