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Your search keyword '"Ismail, Fudziah"' showing total 5 results
Start Over Author "Ismail, Fudziah" Journal international journal of computer mathematics
5 results on '"Ismail, Fudziah"'

3. COMPARISON OF INTERPOLATIONS USED IN SOLVING DELAY DIFFERENTIAL EQUATIONS BY RUNGE-KUTTA METHOD.

Author

Ismail, Fudziah, Al-Khasawneh, Raed Ali, and Suleiman, Mohamed

Subjects
*DELAY differential equations, *INTERPOLATION, *RUNGE-Kutta formulas
Abstract

Delay differential equations are solved using embedded Singly Diagonally Implicit Runge-Kutta (SDIRK) method (3,4) in (4,5). The approximation of the delay term is obtained by Newton divided difference interpolation and interpolation developed by In't Hout. Numerical results based on these two types of interpolation are compared. The stability polynomial and the stability regions of SDIRK method (2,2) using In't Hout interpolation for the delay term are presented. [ABSTRACT FROM AUTHOR]

Published
2003
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4. The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations

Author

Ismail, Fudziah Bt and Suleiman, Mohamed

Abstract

The stability properties for singly diagonally implicit runge-kutta method fourth order five stages embedded in fifth six stages combined with lagrange interpolsation when applied to the linear delay differential equation. [image omitted]  [image omitted]  are investigated. Their regions of stability for [image omitted]  are determined and numerical results when some problems are solved using the method are presented.

Published
2000
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5. Embedded singly diagonally implicit runge-kutta methods (4,5) in (5,6). for the integration of stiff systems of odes

Author

Ismail, Fudziah Bt and Suleman, Mohamed

Abstract

In this paper, fourth order, five-stage embedded in fifth order six-stage Singly Diagonally Implicit Runge-Kutta (SDIRK) methods are derived, and their regions of stability are determined. Numerical results of these methods are presented and compared with the results obtained when the same systems are solved using Rabeh's third order three-stage embedded in fourth order four-stage SDIRK method. Also presented are the stability regions of the methods.

Published
1998
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