A class of three-point spline collocation methods for solving delay differential equations

Authors:
S. M. Mahmoud
Affiliations:
Department of Mathematics, Faculty of Science, Tishreen University, Latakia, Syria
Venue:
International Journal of Computer Mathematics
Year:
2007

Citing 7
Cited 0

Stability of numerical methods for delay differential equations

Journal of Computational and Applied Mathematics
A fully-discrete spectral method for delay-differential equations

SIAM Journal on Numerical Analysis
The stability of a class of Runge-Kutta methods for delay differential equations

Selected papers from the international conference on Numerical solution of Volterra and delay equations
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems

Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
The numerical stability of linear multistep methods for delay differential equations with many delays

SIAM Journal on Numerical Analysis
Automatic Integration of Functional Differential Equations: An Approach

ACM Transactions on Mathematical Software (TOMS)
Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations

SIAM Journal on Scientific Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper a study of the existence, uniqueness, stability and convergence of a class of C2-spline collocation methods for solving delay differential equations (DDEs) is introduced. Letting the interior collocation points [image omitted] , j=1(1)3 be dependent on the parameters c1, c2∈(0, 1) and c3=1 it is shown that the proposed methods for DDEs possess a convergence rate of order six if 58-57(c1+c2)+55c1 c2=0, and they are unstable if c1+c2