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International Journal of Computer Mathematics Volume 79, 2002 - Issue 1
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Original Articles

An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions

R. K. Mohanty Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, India
,
M. K. Jain Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, India
&
Urvashi Arora Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, India
Pages 133-142 | Published online: 15 Sep 2010

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Buyun Chen, Dongdong He & Kejia Pan. (2019) A CCD-ADI method for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients. International Journal of Computer Mathematics 96:5, pages 992-1004.
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Tahir Nazir, Muhammad Abbas & Muhammad Yaseen. (2017) Numerical solution of second-order hyperbolic telegraph equation via new cubic trigonometric B-splines approach. Cogent Mathematics 4:1.
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Qifeng Zhang, Chengjian Zhang & Dingwen Deng. (2014) Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations. International Journal of Computer Mathematics 91:5, pages 964-982.
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Vineet K. Srivastava, Mukesh K. Awasthi & Sunil Kumar. (2014) Analytical approximations of two and three dimensional time-fractional telegraphic equation by reduced differential transform method. Egyptian Journal of Basic and Applied Sciences 1:1, pages 60-66.
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Hong-Lin Liao & Zhi-Zhong Sun. (2013) A two-level compact ADI method for solving second-order wave equations. International Journal of Computer Mathematics 90:7, pages 1471-1488.
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Dingwen Deng & Chengjian Zhang. (2013) Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation. International Journal of Computer Mathematics 90:2, pages 273-291.
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Berna Bülbül & Mehmet Sezer. (2011) Taylor polynomial solution of hyperbolic type partial differential equations with constant coefficients. International Journal of Computer Mathematics 88:3, pages 533-544.
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Samir Karaa. (2010) Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations. International Journal of Computer Mathematics 87:13, pages 3030-3038.
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Jianming Liu & Keming Tang. (2010) A new unconditionally stable ADI compact scheme for the two-space-dimensional linear hyperbolic equation. International Journal of Computer Mathematics 87:10, pages 2259-2267.
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Mehmet Emir Köksal. (2023) Recent Developments of Numerical Methods for Analyzing Telegraph Equations. Archives of Computational Methods in Engineering 30:6, pages 3509-3527.
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