The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary

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Consider the problem:

This is not a two-point boundary value problem since a, b 2 (0, 1). It is possible to solve this problem by dividing it into the three problems: a two-point boundary value problem (BVP) on [a, b] and two initial-value problems (IVP), on [0, a] and [b, 1]. The aim of this work is to present two solution procedures: one based on B-splines of order k 2 and the other based on a combination of B-splines (order k 2) with a (k 1)- order Runge-Kutta method. Then, we give two numerical examples and compare the methods experimentally.

Mathematics Subject Classification (2010): 65D07, 34B15, 65F50, 49M15.

Keywords: B-splines, nonlinear boundary value problems, sparse matrices, Newton method.