― Paper Details ―
A self-starting A-stable implicit linear multistep block method for approximating stiff initial value problems (IVPs) in ordinary differential equations (ODEs) is developed. The construction was carried out by pairing a three-step top order method (TOM) and a four-step linear multistep method and shifting each equation four times to form a block method that generates approximations on ten grid points simultaneously. The implementation of the method on some stiff ODEs confirms its efficiency.
A-Stable, Block Method, Linear Multistep Method (LMM) and Top Order Methods (TOM).
Cite this Publication ―
T. Luga, A. Benard, and S. Aondowase Orum (2021). One-Step A-Stable Implicit Block Method for Approximating the Solutions of First Order Stiff Ordinary Differential Equations. Multidisciplinary International Journal of Research and Development (MIJRD), Volume: 01 Issue: 01, Pages: 25-35. https://www.mijrd.com/papers/v1/i1/MIJRDV1I10003.pdf