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Original Articles

Exponentially fitted θ-methods for singularly perturbed differential delay equations

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Pages 191-198 | Published online: 19 Mar 2007

References

  • Bjurel G. Dahlquist G. Lindberg B. Bjurel G. S-Linde, L-oden, Survey of stiff ordinary differential equations Royal Institute of technology 1970 Stockholm, Dep. of Information Processing Computer Science Report No. NA 70
  • Doolan , L. P. , Miller , J. J. H. and Schilders , W. H. A. 1980 . Uniform Numerical Methods for Problems with Initial and Boundary Layers , Dublin, , Ireland : Bool Press .
  • Feldstein , A. and Goodman , R. 1973 . Numerical solution of ordinary and retarded differential equations with discontinuous derivatives . Numer, Math. , 21 : 1 – 13 .
  • Gear , C. W. 1971 . Numerical Initial Value Problems in Ordinary Differential Equations , Englewood Cliffs, NJ : Prentice Hall .
  • Hall , G. and Watt , J. 1976 . Modern Numerical Methods for Ordinary Differential Equations , Oxford : Clarendon Press .
  • Ibrahim , M. A. K. , Shamardan , A. B. and Yousef , Y. K. 1987 . On exponentially fitted methods for singularly perturbed initial value problems . J. Nat. Sc. Math. , 27 : 25 – 40 .
  • Jackiewicz , Z. 1984 . Asymptotic stability analysis of θ-methods for functional differential equations . Numer. Math. , 43 : 389 – 396 .
  • Kato , T. and Mc Leod , J. B. 1971 . The functional differential equation y′ (x) = ay(λ x) + by(x) . Bull. Amer. Math. Soc , 77 : 891 – 937 .
  • Lambert , J. D. 1973 . Computational Methods in Ordinary Differential Equations , John Wiley and Sons .
  • Mallet-Paret , J. and Nussbaum , R. D. 1989 . A differential delay equation arising in optics and physiology . Siam. J. Math. Anal. , 20 ( 2 ) : 249 – 292 .

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