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The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions. (English) Zbl 0941.65073

Summary: The numerical solution of fifth-order, nonlinear boundary-value problems with two-point boundary conditions is considered. A sixth-degree B-spline approximation is used to construct the numerical method, the coefficients of which are detailed in a table. The method is tested on two problems, one linear and one nonlinear.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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