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Original Articles

New L-Stable Modified Trapezoidal Methods For The Initial Value Problems

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Pages 95-104 | Published online: 15 Sep 2010

  • Sanugi , B. B. 1986 . New numerical strategies for initial value type ordinary differential equation , Loughborough University of Technology . PhD thesis
  • Chawla , M M. and Al-Zanaidi , M. A. 1997 . New L-stable modified trapezoidal formulas for the numerical integration of y =f(x,y} . Intern. J. Camp. Maths. , 63 : 279 – 328 .
  • Evans , D. J. and Yaakub , A. R. 1993 . A new fourth order Runge-Kutta formula based on the contraharmonic (C0M} mean, Loughborough , Report No. 849 University of Technology, Department of Computer Studies .
  • Evans , D. J. and Yaakub , A. R. 1995 . Intern. J. Computer Math. , 57 : 249 – 256 . Contributed Talks at the VI-th SERC Numerical Analysis Summer School, Leicester University, 25-29 July 1994]
  • Evans , D. J. and Yaakub , A. R. 1993 . A new fourth order Runge-Kutta method based on the centroidal mean formula , Report No. 851 Loughborough University of Technology, Department of Computer Studies .
  • Evans , D. J. and Yaakub , A. R. 1993 . A new fourth order Runge-Kutta method based on the root-mean square for initial value problems , Report No. 862 Loughborough University of Technology, Department of Computer Studies .
  • Lambert , J. D. 1973 . Computational Methods in Ordinary Differential Equations , New York : J. Wiley & Sons .
  • 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 .

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