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A new high accuracy non-polynomial tension spline method for the solution of one dimensional wave equation in polar co-ordinates |
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| Institution: | 1. Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110 007, India;2. Department of Applied Mathematics, South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi 110 021, India;3. IIIMIT, Shiv Nadar University, Chithera, Dadri, Gautam Budh Nagar, UP 203 207, India |
| Abstract: | In this paper, we propose a new three-level implicit nine point compact finite difference formulation of O(k2 + h4) based on non-polynomial tension spline approximation in r-direction and finite difference approximation in t-direction for the numerical solution of one dimensional wave equation in polar co-ordinates. We describe the mathematical formulation procedure in details and also discuss the stability of the method. Numerical results are provided to justify the usefulness of the proposed method. |
| Keywords: | Wave equation in polar co-ordinates Non-polynomial tension spline Maximum absolute errors |
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