Abstract

In this report we survey numerical techniques of order 2, 4 and 6 for the solution of a two-point boundary value problem associated with a fourth-order linear ordinary differential equation. A sufficient condition guaranteeing a unique solution of the boundary value problem is also given. Numerical results are tabulated for two typical numerical examples and compared with some known methods including the shooting technique employing the classical fourth-order Runge-Kutta method.

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