HIGH ACCURACY ARITHMETIC AVERAGE TYPE DISCRETIZATION FOR THE SOLUTION OF TWO-SPACE DIMENSIONAL NONLINEAR WAVE EQUATIONS
In: International Journal of Modeling, Simulation, and Scientific Computing, 2012-05-10, S. 1150005-1150005
Online
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Zugriff:
In this paper, we propose a new high accuracy discretization based on the ideas given by Chawla and Shivakumar for the solution of two-space dimensional nonlinear hyperbolic partial differential equation of the form utt = A(x, y, t)uxx + B(x, y, t)uyy + g(x, y, t, u, ux, uy, ut), 0 < x, y < 1, t > 0 subject to appropriate initial and Dirichlet boundary conditions. We use only five evaluations of the function g and do not require any fictitious points to discretize the differential equation. The proposed method is directly applicable to wave equation in polar coordinates and when applied to a linear telegraphic hyperbolic equation is shown to be unconditionally stable. Numerical results are provided to illustrate the usefulness of the proposed method.
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HIGH ACCURACY ARITHMETIC AVERAGE TYPE DISCRETIZATION FOR THE SOLUTION OF TWO-SPACE DIMENSIONAL NONLINEAR WAVE EQUATIONS
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Autor/in / Beteiligte Person: | Mohanty, R. K. ; Gopal, Venu |
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Zeitschrift: | International Journal of Modeling, Simulation, and Scientific Computing, 2012-05-10, S. 1150005-1150005 |
Veröffentlichung: | World Scientific Pub Co Pte Lt, 2012 |
Medientyp: | unknown |
ISSN: | 1793-9615 (print) ; 1793-9623 (print) |
DOI: | 10.1142/s179396231150005x |
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