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International Journal of Computer Mathematics Volume 87, 2010 - Issue 10
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Section B

A new unconditionally stable ADI compact scheme for the two-space-dimensional linear hyperbolic equation

Jianming Liu College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China; Department of Mathematics, Xuzhou Normal University, Xuzhou, ChinaCorrespondence[email protected]
&
Keming Tang College of Information Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China; Department of Computer, Yancheng Teachers University, Yancheng, China
Pages 2259-2267 | Received 14 Jul 2008, Accepted 31 Oct 2008, Published online: 20 Apr 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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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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R. K. Mohanty & Bishnu Pada Ghosh. (2022) A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation. Computational and Applied Mathematics 41:7.
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Dingwen Deng & Chengjian Zhang. (2012) Analysis of a fourth-order compact ADI method for a linear hyperbolic equation with three spatial variables. Numerical Algorithms 63:1, pages 1-26.
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R.K. Mohanty & Venu Gopal. (2013) A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations. Applied Mathematical Modelling 37:5, pages 2802-2815.
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R. K. MOHANTY & VENU GOPAL. (2012) HIGH ACCURACY ARITHMETIC AVERAGE TYPE DISCRETIZATION FOR THE SOLUTION OF TWO-SPACE DIMENSIONAL NONLINEAR WAVE EQUATIONS. International Journal of Modeling, Simulation, and Scientific Computing 03:02, pages 1150005.
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R. K. Mohanty & Suruchi Singh. (2011) A New High-Order Approximation for the Solution of Two-Space-Dimensional Quasilinear Hyperbolic Equations. Advances in Mathematical Physics 2011, pages 1-22.
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