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International Journal of Computer Mathematics Volume 80, 2003 - Issue 2
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Original Articles

Numerical Strategy For The System Of Second Order Ivps Using RK Method Based On Centroidal Mean

K. Murugesan Department of Mathematics and Computer Applications, Regional Engineering College, Tiruchirappalli, 620 015, Tamil Nadu, India
,
Paul Dhayabaran Department of Mathematics, Bishop Heber College, Tiruchirappalli, Tamil Nadu, 620 017, India
,
Henry Amirtharaj Department of Mathematics, Bishop Heber College, Tiruchirappalli, Tamil Nadu, 620 017, India
&
David Evans Professor of Computing, Department of Computing, The Nottingham Trent University, Nottingham, NG1 4BU, UK
Pages 233-241 | Published online: 15 Sep 2010

  • Evans , D. J. and Yaakub , A. R. 1993 . A new 4th order Runge-Kutta Method based on the Centroidal Mean (CeM} formula , Computer Studies 851 Loughborough, , U.K. : Department of Computer Studies, University of Technology .
  • Evans , D. J. and Sanugi , B. B. 1991 . A comparison of nonlinear Trapezoidal formulae for solving initial value problems . Intern. J. Computer Math. , 41 : 65 – 79 .
  • Lambert , J. D. 1973 . Computational Methods in Ordinary Differential Equations , John Wiley & Sons Ltd. .
  • Murugesan , K. , Paul Dhayabaran , D. and David , J. E. 1999 . Analysis of different second order systems via Runge-Kutta method . Intern. J. Cony. Math. , 70 : 477 – 493 .
  • Murugesan , K. , Paul Dhayabaran , D. and David , J. E. 1999 . Analysis of different second order multivariable linear system using single term Walsh series technique and Runge-Kutta method . Intern. J. Comp. Math. , 72 : 367 – 374 .
  • Murugesan , K. , Paul Dhayabaran , D. and David , J. E. 2000 . Analysis of non-linear singular system from fluid dynamics using extended Runge-Kutta methods . Intern. J. Comp. Math. , 76 : 239 – 266 .
  • Murugesan , K. , Paul Dhayabaran , D. , Henry Amirtharaj , E. C. and David , J. E. 2001 . A comparison of extended Runge-Kutta formulae based on variety of means to solve system of IVPs . Intern. J. Comp. Math. , 78 : 225 – 252 .
  • Murugesan , K. , Paul Dhayabaran , D. , Henry Amirtharaj , E. C. and David , J. E. 2002 . A fourth order embedded Runge-Kutta RKACeM(4,4} method based on arithmetic and centroidal means with error control . Intern. J. Comp. Math. , 79 (2} ) : 247 – 269 .
  • Simos , T. E. 1991 . A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial value problem . Intern. J. Comp. Math. , 39 : 135 – 140 .
  • Van Der Houwen , P. J. and Sommeijer , B. P. 1987 . Explicit Runge-Kutta (-Nystrom} methods with reduced phase errors for computing oscillating solutions . SIAM J. Numer. Anal. , 24 : 595 – 617 .

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