Abstract

In this paper,we applied successive ultraspherical integration matrices, which are used for the numerical solution of fourth order linear boundary value problem arising in bending of a rectangular beam on elastic foundation. This method is used to approximate for the highest-order derivative and generating approximations to the lower-order derivatives through integration of the highest-order derivative. We can then use the produced equations in the form of algebraic system and hence it is converted to nonlinear programming. Numerical examples illustratedthe accuracy and efficiency of the proposed method

Key words: Ultraspherical polynomials; integration matrices;beam bending boundary value problem.