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- W2182649305 abstract "Consider the problem: y ′′(x) + f(x, y) = 0, x ∈ [0, 1] y(a) = α y(b) = β, a, b ∈ (0, 1). This is not a two-point boundary value problem since a, b ∈ (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." @default.
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- W2182649305 date "2011-01-01" @default.
- W2182649305 modified "2023-09-24" @default.
- W2182649305 title "Approximation methods for second order nonlinear polylocal problems" @default.
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