Design of new diagonally implicit Runge-Kutta methods for stiff problems

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

This paper presents new fifth-order diagonally implicit Runge-Kutta integration formulas for stiff initial value problems, designed to be L-stable method. The stability of the method is analyzed and numerical results are shown to verify the conclusions.

Original languageEnglish
Pages (from-to)2241-2253
Number of pages13
JournalApplied Mathematical Sciences
Volume3
Issue number45-48
Publication statusPublished - 2009

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Stiff Problems
Implicit Runge-Kutta Methods
Runge Kutta methods
Initial value problems
Stiff Initial Value Problems
Runge-Kutta
Verify
Numerical Results
Design

Keywords

  • L-stable
  • ODE solver
  • Runge-Kutta method
  • Stiff problems

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Design of new diagonally implicit Runge-Kutta methods for stiff problems. / Ababneh, O. Y.; Ahmad, Rokiah @ Rozita; Ismail, Eddie Shahril.

In: Applied Mathematical Sciences, Vol. 3, No. 45-48, 2009, p. 2241-2253.

Research output: Contribution to journalArticle

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