Valaristos, AntoniosAnagnostopoulos, Antonios N.ÇAĞLAR, SÜLEYMAN HİKMETÇAĞLAR, HATİCE NAZANÖZER, MEHMET2016-05-312016-05-3120100020-7160http://hdl.handle.net/11413/1356In 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.en-USBratu's problemB-spline methodnonlinear boundary value problemLaplace methoddecomposition methodboundary-value-problemsgelfand problemequationsdoğrusal olmayan sınır değer problemiLaplace yöntemiayrışma yöntemiSınır-değer-problemleriGelfand sorunudenklemlerArticle2797849000182797849000182-s2.0-779546369662-s2.0-77954636966