A modified block method for the direct solution of second order ordinary differential equations

International Journal of Applied Mathematics and Computation

D. O. Awoyemi²  A. O. Adesanya¹ 

[1] Timothy Ashibel Anake$$;E. A. Adebile$$

关键词: Collocation;    interpolation;    approximate solution;    continuous linear multistep;    block method;   

DOI  :  10.0000/ijamc.2011.3.3.188

来源: PSIT Kanpur

【 摘 要 】

The direct solution of general second order ordinary differential equation is considered in this paper. The method is based on the collocation and interpolation of the power series approximate solution to generate a continuous linear multistep method. We modified the existing block method in order to accommodate the general nth order ordinary differential equation. The modified block is adopted to generate the independent solution at the grid points. This method was found to be efficient when tested on second order ordinary differential equation

【 授权许可】

Unknown