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A Class of Extended One-Step Methods for Solving Delay Differential Equations |
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PP: 593-602 |
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Author(s) |
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F. Ibrahim,
A. A. Salama,
S. Turek,
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Abstract |
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| In this paper, we derive a class of extended one-step methods of order m for solving delay-differential equations. This class
includes methods of fourth and fifth order of accuracy. Also, the class of these methods depends on two free parameters. A convergence
theorem and convergence factor of these methods are given. Stability regions for such methods are determined in terms of the time-lag
t . Some numerical examples are given to illustrate the effectiveness of the numerical schemes. |
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