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On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh |
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| Institution: | 1. Department of Applied Mathematics, South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi-110021, India;2. Department of Mathematics and Statistics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, UK |
| Abstract: | We present two novel two-step explicit methods for the numerical solution of the second order initial value problem on a variable mesh. In the case of a constant mesh the method is superstable in the sense of Chawla (1985). Numerical experimentation is provided to verify the stability analysis. |
| Keywords: | Initial value problems Variable mesh Two-step explicit method Damped wave equation Region of absolute stability Interval of periodicity Interval of weak stability Superstability |
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