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Original Articles

A class of continuous methods for general second order initial value problems in ordinary differential equations

Pages 29-37 | Received 28 Jun 1997, Published online: 19 Mar 2007

References

  • Awoyemi D. O. On some continuous Linear multistep methods for initial value problems Ph. D. Thesis (Unpublished) University of Ilorin Nigeria 1992
  • Awoyemi D. O. A two-step hybrid Multistep method with continuous coefficients for initial value problems of general second order differential equations To appear
  • Chawla , M. M. and Sharma , S. R. 1985 . Family of Three-Stage Third Order Runge–Kutta–Nystrom methods for y″=f(x,y,y′) . Journal of the Australian mathematical society , 26 : 375 – 386 .
  • Fatunla , S. O. 1988 . Numerical methods for initial value problems in ordinary differential equations , Academic press, Inc. .
  • Gear , C. W. 1971a . Algorithm 407: DIFSUB for solution of ODEs . Communications of the ACM , 14 : 185 – 190 .
  • Hairer , E. and Wanner , G. 1976 . A theory for Nystrom methods . Numerische mathematik , 25 : 383 – 400 .
  • Hairer , E. 1977 . Methods de Nystrom pour 1 equation Defferentielle y″=f(x,y) . Numerische mathematick , 27 : 283 – 300 .
  • Henrici , P. 1962 . Discrete variable methods in ODEs , New York : John Wiley & Sons .
  • Lambert , J. D. 1973a . Computational methods in ODEs , New York : John Wiley .
  • Onumanyi , P. , Awoyemi , D. O. , Jator , S. N. and Sirisena , U. W. 1994 . New linear multistep methods with continuous coefficients for first order IVPs . Journal of the Nigerian Mathematical society , 13 : 37 – 51 .
  • Onumanyi , P. and Jator , S. N. A new direct method of integration of nonstiff ode's ,
  • Taiwo , O. A. and Onumanyi , P. 1991 . A collocation approximation of singularly perturbed second order differential equation . Computer Mathematics , 39 : 205 – 211 .

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