Variable-step variable-order algorithm for the numerical solution of neutral functional differential equations

Applied Numerical Mathematics ◽

10.1016/0168-9274(87)90036-5 ◽

1987 ◽

Vol 3 (4) ◽

pp. 317-329 ◽

Author(s):

Zdzislaw Jackiewicz

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Variable Order ◽

Neutral Functional Differential Equations ◽

Variable Step ◽

Functional Differential ◽

Order Algorithm

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Numerical Solution of Implicit Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s003614299731867x ◽

1999 ◽

Vol 36 (2) ◽

pp. 516-528 ◽

Author(s):

Yunkang Liu

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential

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Numerical solution of neutral functional differential equations by Adams methods in divided difference form

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.02.016 ◽

2006 ◽

Vol 189 (1-2) ◽

pp. 592-605 ◽

Author(s):

Z. Jackiewicz ◽

E. Lo

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Divided Difference ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Adams Methods ◽

Difference Form ◽

Functional Differential

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The numerical solution of neutral functional differential equations by Adams predictor- corrector methods

Applied Numerical Mathematics ◽

10.1016/0168-9274(91)90110-l ◽

1991 ◽

Vol 8 (6) ◽

pp. 477-491 ◽

Author(s):

Z. Jackiewicz ◽

E. Lo

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential ◽

Predictor Corrector

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Quasilinear Multistep Methods and Variable Step Predictor–Corrector Methods for Neutral Functional-Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0723029 ◽

1986 ◽

Vol 23 (2) ◽

pp. 423-452 ◽

Author(s):

Zdzislaw Jackiewicz

Keyword(s):

Differential Equations ◽

Multistep Methods ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Variable Step ◽

Functional Differential ◽

Predictor Corrector

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An abstract framework in the numerical solution of boundary value problems for neutral functional differential equations

Numerische Mathematik ◽

10.1007/s00211-015-0754-1 ◽

2015 ◽

Vol 133 (3) ◽

pp. 525-555 ◽

Author(s):

Stefano Maset

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential ◽

Abstract Framework

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The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part II: Differential Equations with Deviating Arguments

SIAM Journal on Numerical Analysis ◽

10.1137/140979022 ◽

2015 ◽

Vol 53 (6) ◽

pp. 2794-2821 ◽

Author(s):

S. Maset

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Deviating Arguments ◽

Functional Differential

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The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part I: Convergence Results

SIAM Journal on Numerical Analysis ◽

10.1137/130935550 ◽

2015 ◽

Vol 53 (6) ◽

pp. 2771-2793 ◽

Author(s):

S. Maset

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Convergence Results ◽

Functional Differential

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One-Step Methods of any Order for Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0721036 ◽

1984 ◽

Vol 21 (3) ◽

pp. 486-511 ◽

Author(s):

Zdzislaw Jackiewicz

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

One Step ◽

Functional Differential

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Equivariant Hopf bifurcation for neutral functional differential equations

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-08-09280-0 ◽

2008 ◽

Vol 136 (06) ◽

pp. 2031-2041 ◽

Author(s):

Shangjiang Guo ◽

Jeroen S. W. Lamb

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential ◽

Equivariant Hopf Bifurcation

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Spline Approximations for Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0718072 ◽

1981 ◽

Vol 18 (6) ◽

pp. 1058-1080 ◽

Author(s):

F. Kappel ◽

K. Kunisch

Keyword(s):

Differential Equations ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential

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