An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions
Authors:
- 1 January 2002
- journal article
- research article
- Published by Taylor & Francis in International Journal of Computer Mathematics
- Vol. 79 (1) , 133-142
Abstract
An unconditionally stable alternating direction implicit (ADI) method of O(k 2 +h 2 ) of Lees type for solving the three space dimensional linear hyperbolic equation u tt +2 f u t + g 2 u = u xx + u yy + u zz + f ( x , y , z , t ), 00 and g S 0 are real numbers. For this method, we use a single computational cell. The resulting system of algebraic equations is solved by three step split method. The new method is demonstrated by a suitable numerical example.Keywords
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