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Multistep numerical methods for functional differential equations

Author

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  • Kim, A.V.
  • Pimenov, V.G.

Abstract

Different numerical methods are developed for solving retarded differential equations [1, 9]. Multistep numerical methods for general functional differential equations (FDE) were elaborated in [5, 10]. In contrast to those works presented in this paper, multistep numerical methods are based on the interpolation of discrete model, but not on the approximation of functionals (in the right-hand side of FDE). Basic attention is given to investigating of convergence orders of the methods.

Suggested Citation

  • Kim, A.V. & Pimenov, V.G., 1998. "Multistep numerical methods for functional differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 45(3), pages 377-384.
    • Handle: RePEc:eee:matcom:v:45:y:1998:i:3:p:377-384
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