On a class of numerical integration methods for a problem of plate deflection theory

Abstract

This brief report describes finite difference methods of order 4 and 6 for obtaining an approximate solution of a two-point boundary value problem involving a fourth order linear differential equation These methods are derived from the formula

Numerical results are tabulated for two typical boundary value problems.

Keywords:

• Band-matrices
• two-point boundary value problem
• discretization error
• error bound
• finite difference method
• monotone matrices
• Runge-Kutta method
• shooting method

C.R. Categories:

• 5.17