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Original Articles

The numerical solution of the telegraph equation by the alternating group explicit (AGE) method

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Pages 1289-1297 | Received 25 Oct 2002, Accepted 17 Dec 2002, Published online: 12 May 2010

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Jalil Rashidinia & Mahmood Jokar. (2016) Application of polynomial scaling functions for numerical solution of telegraph equation. Applicable Analysis 95:1, pages 105-123.
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R. K. Mohanty. (2009) New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations. International Journal of Computer Mathematics 86:12, pages 2061-2071.
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Ali Moazzzam, Ayza Anjum, Nimra Saleem & Emad A. Kuffi. (2023) Study of Telegraph Equation via He-Fractional Laplace Homotopy Perturbation Technique. Ibn AL-Haitham Journal For Pure and Applied Sciences 36:3, pages 349-364.
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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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Mamta Kapoor. (2023) A comparative study for the numerical approximation of 1D and 2D hyperbolic telegraph equations with UAT and UAH tension B-spline DQM. Nonlinear Engineering 12:1.
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Jiao Zeng, Asma Idrees & Mohammed S. Abdo. (2022) A New Strategy for the Approximate Solution of Hyperbolic Telegraph Equations in Nonlinear Vibration System. Journal of Function Spaces 2022, pages 1-7.
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Ajmal Ali, Thabet Abdeljawad, Azhar Iqbal, Tayyaba Akram & Muhammad Abbas. (2021) On Unconditionally Stable New Modified Fractional Group Iterative Scheme for the Solution of 2D Time-Fractional Telegraph Model. Symmetry 13:11, pages 2078.
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Chen Yue, Li Wu, A. A. Mousa, Dianchen Lu & Mostafa M. A. Khater. (2021) Diverse Novel Stable Traveling Wave Solutions of the Advanced or Voltage Spectrum of Electrified Transmission Through Fractional Non-linear Model. Frontiers in Physics 9.
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Alaa Hayek, Serge Nicaise, Zaynab Salloum & Ali Wehbe. (2020) Existence, Uniqueness and Stabilization of Solutions of a Generalized Telegraph Equation on Star Shaped Networks. Acta Applicandae Mathematicae 170:1, pages 823-851.
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Izaz Ali, Hassan Khan, Umar Farooq, Dumitru Baleanu, Poom Kumam & Muhammad Arif. (2020) An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations. IEEE Access 8, pages 25638-25649.
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Muhammad Nadeem & Fengquan Li. (2019) He–Laplace method for nonlinear vibration systems and nonlinear wave equations. Journal of Low Frequency Noise, Vibration and Active Control 38:3-4, pages 1060-1074.
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A. Mardani, M. R. Hooshmandasl, M. M. Hosseini & M. H. Heydari. (2017) Moving Least Squares (MLS) Method for the Nonlinear Hyperbolic Telegraph Equation with Variable Coefficients. International Journal of Computational Methods 14:03, pages 1750026.
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Yali Duan, Linghua Kong & Min Guo. (2017) Numerical Simulation of a Class of Nonlinear Wave Equations by Lattice Boltzmann Method. Communications in Mathematics and Statistics 5:1, pages 13-35.
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Shokofeh Sharifi & Jalil Rashidinia. (2016) Numerical solution of hyperbolic telegraph equation by cubic B-spline collocation method. Applied Mathematics and Computation 281, pages 28-38.
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Lee Ming Kew & Norhashidah Hj. Mohd Ali. (2015) New explicit group iterative methods in the solution of three dimensional hyperbolic telegraph equations. Journal of Computational Physics 294, pages 382-404.
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Sapna Pandit, Manoj Kumar & Surabhi Tiwari. (2015) Numerical simulation of second-order hyperbolic telegraph type equations with variable coefficients. Computer Physics Communications 187, pages 83-90.
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Li-Bin Liu & Huan-Wen Liu. (2013) Compact difference schemes for solving telegraphic equations with Neumann boundary conditions. Applied Mathematics and Computation 219:19, pages 10112-10121.
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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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Xuqiong Luo & Qikui Du. (2013) An unconditionally stable fourth-order method for telegraph equation based on Hermite interpolation. Applied Mathematics and Computation 219:15, pages 8237-8246.
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Huai-Huo Cao, Li-Bin Liu & Yong Zhang. (2011) Numerical Solution of Telegraphic Equations with Source Term Using the Generalized Trapezoidal Formula. Numerical Solution of Telegraphic Equations with Source Term Using the Generalized Trapezoidal Formula.
Simon Uzezi Ewedafe & Rio Hirowati Shariffudin. (2010) Parallel Implementation of 2-D Telegraphic Equation on MPI/PVM Cluster. International Journal of Parallel Programming 39:2, pages 202-231.
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Mehdi Dehghan & Arezou Ghesmati. (2010) Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method. Engineering Analysis with Boundary Elements 34:1, pages 51-59.
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