An Order Six Zero-Stable Method for Direct Solution of Fourth Order Ordinary Differential Equations | Science Publications

American Journal of Applied Sciences

Kayode S. Jacob¹ 

关键词: Zero-stable;    collocation;    continuous coefficient;    optimal order;    functions evaluation;   

DOI  :  10.3844/ajassp.2008.1461.1466

学科分类：自然科学（综合）

来源: Science Publications

【 摘 要 】

zero-stable numerical method for direct solution of fourth order differential equations reduces the computational burden and computer time wastage involved in the method of reducing such equations to a system of first order equations. The method adopted is the collocation of the differential system and the interpolation of the approximate solution to the problem using the power series as a basis function. The method is consistent and symmetric with optimal order p = 6. A consistent and symmetric main predictor of order five is also developed for the evaluation of the implicit scheme.

【 授权许可】

Unknown