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Finite difference methods for solving [p(x)y '' ] '' +q(x)y=r(x). (English) Zbl 0534.65040
A special type of linear fourth-order two-point boundary value problem for which solutions are shown to be unique is studied. Second and fourth- order finite difference schemes are developed and in the case of test problems are seen to perform in accordance with their theoretical rates of convergence. Results for a shooting method based on a fourth-order Runge-Kutta method are presented for comparison.
Reviewer: J.C.Butcher
MSC:
65L10Boundary value problems for ODE (numerical methods)
34B05Linear boundary value problems for ODE