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Original Articles

Third-order composite Runge–Kutta method for stiff problems

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Pages 1221-1226 | Received 30 Apr 2004, Published online: 19 Aug 2006

References

  • Gupta , G. K. , Sacks-Davis , R. and Tescher , P. E. 1985 . A review of recent developments in solving ODEs . ACM Computing Surveys , 17 : 5 – 47 .
  • Butcher , J. C. 2000 . Numerical methods for ODE in the 20th century . Journal of Computational and Applied Mathematics , 125 : 1 – 29 .
  • Wu , X.-Y. 1998 . A sixth-order A-stable explicit one-step method for stiff systems . Computational and Applied Mathematics , 35 : 59 – 64 .
  • Sanugi , B. B. and Evans , J. D. 1993 . “ A new fourth order Runge–Kutta formula based on harmonic mean ” . In Rep. 779 , Department of Computer Science, Loughborough University of Technology .
  • Wolfram , S. 1991 . Mathematica: A System for doing Mathematics by Computer , 2nd edn , Reading, MA : Addison-Wesley .
  • Wazwaz , A. 1990 . A modified third order Runge–Kutta method . Applied Mathematics Letters , 3 : 123 – 125 .

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