The numerical solution of functional differential equations, a survey

Z. Jackiewicz; M. Kwapisz

doi:10.14708/ma.v19i33.1778

The numerical solution of functional differential equations, a survey

Mathematica Applicanda ◽

10.14708/ma.v19i33.1778 ◽

2016 ◽

Vol 19 (33) ◽

Author(s):

Z. Jackiewicz ◽

M. Kwapisz

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Functional Differential

Download Full-text

Numerical Solution of Implicit Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s003614299731867x ◽

1999 ◽

Vol 36 (2) ◽

pp. 516-528 ◽

Cited By ~ 28

Author(s):

Yunkang Liu

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential

Download Full-text

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 ◽

Cited By ~ 16

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

Download Full-text

One-Step Methods for the Numerical Solution of Volterra Functional Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0708072 ◽

1971 ◽

Vol 8 (4) ◽

pp. 786-795 ◽

Cited By ~ 59

Author(s):

Lucio Tavernini

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

One Step ◽

Functional Differential

Download Full-text

Numerical Solution and Stability of Block Method for Solving Functional Differential Equations

Transactions on Engineering Technologies ◽

10.1007/978-94-017-8832-8_43 ◽

2014 ◽

pp. 597-609 ◽

Cited By ~ 2

Author(s):

Fuziyah Ishak ◽

Mohamed B. Suleiman ◽

Zanariah A. Majid

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Block Method ◽

Functional Differential

Download Full-text

Startingless multistep methods approach for the numerical solution of the mixed functional differential equations

10.1063/1.4902480 ◽

2014 ◽

Author(s):

Maksim A. Panachev

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Multistep Methods ◽

Functional Differential Equations ◽

Functional Differential

Download Full-text

Linear multistep methods for the numerical solution of volterra functional differential equations†

Applicable Analysis ◽

10.1080/00036817308839063 ◽

1973 ◽

Vol 3 (2) ◽

pp. 169-185 ◽

Cited By ~ 42

Author(s):

Lucio Tavernini

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Multistep Methods ◽

Functional Differential Equations ◽

Linear Multistep Methods ◽

Functional Differential

Download Full-text

Numerical solution of retarded functional differential equations as partial differential equations

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)36930-6 ◽

2000 ◽

Vol 33 (23) ◽

pp. 133-135

Author(s):

Stefano Maset

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Partial Differential ◽

Retarded Functional Differential Equations ◽

Functional Differential

Download Full-text

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 ◽

Cited By ~ 17

Author(s):

Z. Jackiewicz ◽

E. Lo

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential ◽

Predictor Corrector

Download Full-text

The numerical solution of boundary value problems for second order functional differential equations by finite differences

Numerische Mathematik ◽

10.1007/bf01407371 ◽

1972 ◽

Vol 20 (4) ◽

pp. 288-299 ◽

Cited By ~ 17

Author(s):

Colin W. Cryer

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Boundary Value Problems ◽

Finite Differences ◽

Boundary Value ◽

Functional Differential Equations ◽

Second Order ◽

Functional Differential

Download Full-text

One step methods for the numerical solution of volterra functional differential equations of neutral type

Applicable Analysis ◽

10.1080/00036818108839344 ◽

1981 ◽

Vol 12 (1) ◽

pp. 1-11 ◽

Cited By ~ 8

Author(s):

Zdzislaw Jackiewicz

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Neutral Type ◽

One Step ◽

Functional Differential

Download Full-text