Keywords
Hybrid Simpson’s rule, Block method, Second derivative, A-stable, Stiff Systems, Zero- Stability.
How to Cite
The Simpson’s -3/8 Type Hybrid Block Method for Solving Stiff Systems of Ordinary Differential Equations. (2025). KASU JOURNAL OF MATHEMATICAL SCIENCE (Maths Access), 3(1), 50-62. https://mathsaccess.org.ng/index.php/kjms/article/view/64
Abstract
A hybrid Simpson’s type second derivative method is proposed in this paper for the solution of stiff ordinary differential equations. The method is derived by interpolation and collocation of power series to generate continuous linear multistep methods (clmms). he derived schemes consist of the main method and two additional methods which are combined to form the block method The analysis of the properties of the methods show that the method beside being consistent and zero- stable is also A-stable; which is a reliable property for solving stiff ordinary differential equations.