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Your search keyword '"*DELAY differential equations"' showing total 2 results
Start Over Descriptor "*DELAY differential equations" Topic numerical solution Topic stability Journal international journal of computer mathematics Publisher taylor & francis ltd
2 results on '"*DELAY differential equations"'

1. Stability of θ-methods for linear delay-integro-differential systems.

Author

Xu, Y. and Zhao, J.J.

Subjects
*INTEGRO-differential equations, *NUMERICAL solutions to delay differential equations, *INITIAL value problems, *BESSEL functions, *FUNCTIONAL differential equations, *COMPUTATIONAL mathematics, *MATHEMATICAL analysis
Abstract

This article is concerned with the stability of θ-methods for linear delay-integro-differential systems. The linear θ-methods for the modified linear delay-integro-differential systems are established. It is shown that the linear θ-methods are GP-stable if θ∈[1/2, 1]. Finally, some numerical experiments are given to demonstrate the conclusions. [ABSTRACT FROM AUTHOR]

Published
2010
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2. Numerical solution of system of first-order delay differential equations using polynomial spline functions.

Author

Ramadan, MohamedA., El-Sherbeiny, Abd-El-Aziz, and Sherif, MahmoudN.

Subjects
*NUMERICAL solutions to differential equations, *POLYNOMIALS, *SPLINE theory, *ERROR analysis in mathematics, *NUMERICAL analysis, *MATHEMATICAL functions
Abstract

The use of two constructed polynomial spline functions to approximate the solution of a system of first-order delay differential equations is described. The first spline function is a polynomial with an undetermined constant coefficient in the last term. The other has a polynomial spline form. The error analysis and stability of the second function are theoretically investigated and a test example is given. A comparison of the two forms is carried out to illustrate the pertinent features of the proposed techniques. [ABSTRACT FROM AUTHOR]

Published
2006
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