An Optimized Two-Step Block Hybrid Method with Symmetric Intra-Step Points for Second Order Initial Value Problems

We derive a two-step block hybrid method for solving general second-order initial value problems by optimizing the local truncation errors. We test the optimized block method's efficiency on both scalar and system initial value problems of the linear and non-linear type, and the results obtaine...

Full description

Saved in:
Bibliographic Details
Published in:Engineering letters 2021-08, Vol.29 (3), p.948
Main Authors: Orakwelu, Maduabuchi Gabriel, Goqo, Sicelo, Mot, Sandile
Format: Article
Language:English
Subjects:
Boundary value problems
Truncation errors
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We derive a two-step block hybrid method for solving general second-order initial value problems by optimizing the local truncation errors. We test the optimized block method's efficiency on both scalar and system initial value problems of the linear and non-linear type, and the results obtained compared with similar schemes.
ISSN:1816-093X
1816-0948