A Singularly P-Stable Multi-Derivative Predictor Method for the Numerical Solution of Second-Order Ordinary Differential Equations
Keyword(s):
In this paper, a symmetric eight-step predictor method (explicit) of 10th order is presented for the numerical integration of IVPs of second-order ordinary differential equations. This scheme has variable coefficients and can be used as a predictor stage for other implicit schemes. First, we showed the singular P-stability property of the new method, both algebraically and by plotting the stability region. Then, having applied it to well-known problems like Mathieu equation, we showed the advantage of the proposed method in terms of efficiency and consistency over other methods with the same order.
1978 ◽
Vol 15
(1)
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pp. 188-197
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Keyword(s):
1964 ◽
Vol 18
(88)
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pp. 664-664
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1967 ◽
Vol 22
(6)
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pp. 871-881
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1979 ◽
Vol 84
(3-4)
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pp. 249-257
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