Optimization of one step block method with three hybrid points for solving first-order ordinary differential equations

Bothayna S.H. Kashkari; Muhammed I. Syam

doi:10.1016/j.rinp.2018.12.015

Optimization of one step block method with three hybrid points for solving first-order ordinary differential equations

Bothayna S.H. Kashkari, Muhammed I. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

An optimized one-step hybrid block method for the numerical solution of first-order initial value problems is presented. The method takes into consideration three hybrid points which are chosen appropriately to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with fifth algebraic order. Some numerical examples are discussed to show the efficiency and the accuracy of the proposed method.

Original language	English
Pages (from-to)	592-596
Number of pages	5
Journal	Results in Physics
Volume	12
DOIs	https://doi.org/10.1016/j.rinp.2018.12.015
Publication status	Published - Mar 2019

Keywords

First-order initial value problems
One-step hybrid block method
Optimization
Stability

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.rinp.2018.12.015

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abstract = "An optimized one-step hybrid block method for the numerical solution of first-order initial value problems is presented. The method takes into consideration three hybrid points which are chosen appropriately to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with fifth algebraic order. Some numerical examples are discussed to show the efficiency and the accuracy of the proposed method.",

keywords = "First-order initial value problems, One-step hybrid block method, Optimization, Stability",

author = "Kashkari, {Bothayna S.H.} and Syam, {Muhammed I.}",

note = "Publisher Copyright: {\textcopyright} 2018 The Authors",

year = "2019",

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doi = "10.1016/j.rinp.2018.12.015",

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volume = "12",

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journal = "Results in Physics",

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AU - Kashkari, Bothayna S.H.

AU - Syam, Muhammed I.

PY - 2019/3

Y1 - 2019/3

N2 - An optimized one-step hybrid block method for the numerical solution of first-order initial value problems is presented. The method takes into consideration three hybrid points which are chosen appropriately to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with fifth algebraic order. Some numerical examples are discussed to show the efficiency and the accuracy of the proposed method.

AB - An optimized one-step hybrid block method for the numerical solution of first-order initial value problems is presented. The method takes into consideration three hybrid points which are chosen appropriately to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with fifth algebraic order. Some numerical examples are discussed to show the efficiency and the accuracy of the proposed method.

KW - First-order initial value problems

KW - One-step hybrid block method

KW - Optimization

KW - Stability

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VL - 12

SP - 592

EP - 596

JO - Results in Physics

JF - Results in Physics

ER -

Optimization of one step block method with three hybrid points for solving first-order ordinary differential equations

Abstract

Keywords

ASJC Scopus subject areas

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