Universal Journal of Mathematics and Mathematical Sciences
Volume 4, [Proceedings of International Conference: Mathematical Science and Applications, December 26-30, 2012, Abu Dhabi, UAE] Issue 1, Pages 103 - 117
(July 2013)
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THE DISCONTINUOUS FINITE VOLUME ELEMENT METHOD AND NUMERICAL SIMULATIONS OF TWO‑DIMENSIONAL SEMI-LINEAR PSEUDO-PARABOLIC EQUATIONS
Ning Liu and Ziwen Jiang
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Abstract:
In this paper, we consider the discontinuous finite volume element method for a type of two-dimensional semi-linear pseudo-parabolic equations which have wide application areas, construct the discrete scheme and obtain the optimal error estimates in  -norm and the discrete  -norm. A numerical result is finally presented for illustration. |
| Keywords and phrases: semi-linear pseudo-parabolic equations, discontinuous finite volume element method, optimal error estimate, numerical experiments. |
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