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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9102
Title: An unconditionally stable ADI method for the linear hyperbolic equation in three space dimensions
Authors: Mohanty R.K.
Jain, Manoj Kumar
Arora U.
Published in: International Journal of Computer Mathematics
Abstract: An unconditionally stable alternating direction implicit (ADI) method of O(k2+h2) of Lees type for solving the three space dimensional linear hyperbolic equation utt+2αu tβ2u = uxx+ uyy+u zz+f(x, y, z, t), 0 < x, y, z < 1, t > 0 subject to appropriate initial and Dirichlet boundary conditions is proposed, where α > 0 and β ≥ 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. © 2002 Taylor & Francis Ltd.
Citation: International Journal of Computer Mathematics (2002), 79(1): 133-142
URI: https://doi.org/10.1080/00207160211918
http://repository.iitr.ac.in/handle/123456789/9102
Issue Date: 2002
Keywords: ADI method
Damped wave equation
Linear hyperbolic equation
Pade' approximation
RMS errors
Unconditionally stable
ISSN: 207160
Author Scopus IDs: 22938082300
56226587200
9637637300
Author Affiliations: Mohanty, R.K., Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi - 110 007, India
Jain, M.K., Department of Mathematics, Faculty of Science, University of Mauritius, Reduit, Mauritius
Arora, U., Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi - 110 007, India
Corresponding Author: Mohanty, R.K.; Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi - 110 007, India; email: rmohanty@du.ac.in
Appears in Collections:Journal Publications [HY]

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