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Original Articles

New L-stable modified trapezoidal formulas for the numerical integration of Y1=f(x, y)

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Pages 279-288 | Received 06 Nov 1995, Published online: 20 Mar 2007

References

  • Axelsson , O. 1969 . A class of A-stable methods . BIT , 9 : 185 – 199 .
  • Ehle B.L. On Pade approximations to the exponential function and A-stable methods for the numerical solution of initial value problems Research Rep. CSRR 2010, Dept. AACS, Univ. of Waterloo 1969
  • Evans , D. J. and Sanugi , B. B. 1987 . A comparison of numerical ODE solvers based on arithmetic and geometric means . Intern. J. Computer Math , 23 : 37 – 62 .
  • 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. Stiffness in Computational Techniques for Ordinary Differential Equations , Edited by: Gladwell , I. and Sayer , D.K. 19 – 46 . London : Academic Press .
  • Lambert , J.D. 1991 . Numerical Methods for Ordinary Differential Systems , New York : John Wiley .
  • Wazwaz , A. M. 1994 . On the numerical solution of y' =f(x,y) by a class of nonlinear trapezoidal formulas . Intern. J. Computer Math , 51 : 229 – 238 .

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