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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/9103
Title: An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
Authors: Mohanty R.K.
Jain, Manoj Kumar
Published in: Numerical Methods for Partial Differential Equations
Abstract: We report a new unconditionally stable implicit alternating direction implicit (ADI) scheme of O(k2 + h2) for the difference solution of linear hyperbolic equation utt + 2αut + β2u = uxx + uyy + f(x, y, t), α > β ≥ 0, 0 < x, y < 1, t > 0 subject to appropriate initial and Dirichlet boundary conditions, where α > 0 and β ≥ 0 are real numbers. The resulting system of algebraic equations is solved by split method. Numerical results are provided to demonstrate the efficiency and accuracy of the method. © 2001 John Wiley & Sons, Inc.
Citation: Numerical Methods for Partial Differential Equations (2001), 17(6): 684-688
URI: https://doi.org/10.1002/num.1034
http://repository.iitr.ac.in/handle/123456789/9103
Issue Date: 2001
Keywords: ADI scheme
Damped wave equation
Linear hyperbolic equation
RMS errors
Unconditionally stable
ISSN: 0749159X
Author Scopus IDs: 22938082300
57225721930
Author Affiliations: Mohanty, R.K., Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110 007, India, Dept. of Computing, Nottingham Trent University, Burton Street, Nottingham, NG1 4BU, United Kingdom
Jain, M.K., Department of Mathematics, University of Mauritius, Reduit, Mauritius
Corresponding Author: Mohanty, R.K.; Dept. of Computing, Nottingham Trent University, Burton Street, Nottingham, NG1 4BU, United Kingdom; email: rmohanty@du.ac.in
Appears in Collections:Journal Publications [HY]

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