Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483872 | Journal of the Egyptian Mathematical Society | 2014 | 6 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Venu Gopal, R.K. Mohanty, L.M. Saha,