Formulations of Continuous Multistep Method for Direct Solution of Third and Fourth Order ODEs Using Chebyshev Polynomials as Basis Function

摘要

The numerical solution of first order ordinary differential equations have been extensively discussed and well studied as reported in the literatures. Also the development of multistep schemes for solving second order ODEs there been presented by some members. In this presentation an attempt shall be made to develop a numerical scheme (multistep scheme) that can be used to solve third order and forth order ODEs directly without necessarily resolving this type of equations into system of first order ODEs.