A class of collocation methods for general second order ordinary differential equations

African Journal of Mathematics and Computer Science Research

Y. A. Yahaya¹ 

关键词: General second order;    initial value problems;    parallel/block method;    hybrid;    self starting.;   

DOI  :  

学科分类：计算机科学（综合）

来源: Academic Journals

【 摘 要 】

In this paper, self starting hybrid block method of order (4,3,3)Tis proposed for the solution of general second order initial value problem of the formY”=f(x, y, y’) directly without reducing it to first systems of odes. The continuous formation of the integrator enable us to differentiate and evaluate at some grids and off-grid points to take care of y’in the method. The schemes compare favorably with optimal order four (Fatunla Based) proposed in Yahaya (2004). There is anticipated speed up of computation as a result of admissible parallelism across the method.

【 授权许可】

CC BY