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

Bothayna S.H. Kashkari, Muhammed I. Syam

Research output: Contribution to journalArticlepeer-review

3 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 languageEnglish
Pages (from-to)592-596
Number of pages5
JournalResults in Physics
Volume12
DOIs
Publication statusPublished - 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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