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...

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Published in:Engineering letters 2021-08, Vol.29 (3), p.948
Main Authors: Orakwelu, Maduabuchi Gabriel, Goqo, Sicelo, Mot, Sandile
Format: Article
Language:English
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Boundary value problems
Truncation errors
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Goqo, Sicelo
Mot, Sandile
description 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.
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subjects Boundary value problems
Truncation errors
title An Optimized Two-Step Block Hybrid Method with Symmetric Intra-Step Points for Second Order Initial Value Problems
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