Circumventing ill-conditioning arising from using linear multistep methods in approximating the solution of initial value problems
RO Akinola, A Shokri, SW Yao, SY Kutchin - Mathematics, 2022 - mdpi.com
When finding numerical solutions to stiff and nonstiff initial value problems using linear
multistep methods, ill-conditioned systems are often encountered. In this paper, we …
multistep methods, ill-conditioned systems are often encountered. In this paper, we …
Efficient k-Step Linear Block Methods to Solve Second Order Initial Value Problems Directly
H Ramos, SN Jator, MI Modebei - Mathematics, 2020 - mdpi.com
There are dozens of block methods in literature intended for solving second order initial-
value problems. This article aimed at the analysis of the efficiency of k-step block methods …
value problems. This article aimed at the analysis of the efficiency of k-step block methods …
[HTML][HTML] A Proof of the Non-Singularity of the D Matrix Used in Deriving the Two—Step Butcher's Hybrid Scheme for the Solution of Initial Value Problems
RO Akinola, KJ Ajibade - Journal of Applied Mathematics and Physics, 2021 - scirp.org
In this paper, we state and prove the conditions for the non-singularity of the D matrix used in
deriving the continuous form of the Two-step Butcher's hybrid scheme and from it the …
deriving the continuous form of the Two-step Butcher's hybrid scheme and from it the …