Hybrid one step block method for the solution of third order initial value problems of ordinary differential equations

International Journal of Applied Mathematics and Computation

B. Abdulqadri²  A. O. Adesanya¹ 

[1] Modibbo Adama University of Technology$$;Y. S. Ibrahimb$$

关键词: hybrid;    collocation;    interpolation;    approximate solution;    zero stable;    consistent;    convergent;    block method;   

DOI  :  10.0000/ijamc.2014.6.1.634

来源: PSIT Kanpur

【 摘 要 】

In this paper, we develop one point, five hybrid points, block method using the method of collocation and interpolation of the power seriesapproximate solution to develop a linear multistep method with a constant step-length which was implemented in block method. The basicproperties of the derived method was investigated and found to be constant, zero stable and convergent. The region of absolute stability wasequally investigated. The derived method was tested on some numerical examples.

【 授权许可】

Unknown