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


65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
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