An efficient implicit Runge-Kutta method for second order systems

Basem S. Attili, Khalid Furati, Muhammed I. Syam

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


We will consider the efficient implementation of a fourth order two stage implicit Runge-Kutta method to solve periodic second order initial value problems. To solve the resulting systems, we will use the factorization of the discretized operator. Such proposed factorization involves both complex and real arithmetic. The latter case is considered here. The resulting system will be efficient and small in size. It is one fourth the size of systems using normal implicit Runge-Kutta method. Numerical details and examples will also be presented to demonstrate the efficiency of the method.

Original languageEnglish
Pages (from-to)229-238
Number of pages10
JournalApplied Mathematics and Computation
Issue number2
Publication statusPublished - Jul 15 2006

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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