New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations

R. K. Mohanty

Type: Article

Publication Date: 2008-08-21

Citations: 131

DOI: https://doi.org/10.1080/00207160801965271

View Publication

Locations

International Journal of Computer Mathematics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Unconditionally stable modified methods for the solution of two‐ and three‐dimensional telegraphic equation with Robin boundary conditions	2018	Swarn Singh Suruchi Singh Ping Lin Rajni Arora
+	Fourth-order compact difference and alternating direction implicit schemes for telegraph equations	2011	Shusen Xie Su-Cheol Yi Tae In Kwon
+	The numerical solution of the telegraph equation by the alternating group explicit (AGE) method	2003	David J. Evans Hasan Bulut
+	Difference Schemes for Multi-dimensional Problems	2024	Guoxiang Hou Caikan Chen Shenglei Qin Yuan Gao Kai Wang
+	Analyzing Numerical Methods for Solving Telegraph Partial Differential Equations: A Comprehensive Literature Review on Difference Scheme Approaches	2023	Amir Kamal Amir
+	A CCD-ADI method for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients	2018	Buyun Chen Dongdong He Kejia Pan
+ PDF Chat	An Unconditionally Stable Parallel Difference Scheme for Telegraph Equation	2009	A. Borhanifar Reza Abazari
+	An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation	2004	R. K. Mohanty
+	Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations	2010	Samir Karaa
+	Numerical Solution of One-Dimensional Hyperbolic Telegraph Equation Using Collocation of Cubic B-Splines	2023	Athira Babu Noufal Asharaf
+	Numerical Solution of Telegraphic Equations with Source Term Using the Generalized Trapezoidal Formula	2011	Huai-Huo Cao Li‐Bin Liu Yong Zhang
+ PDF Chat	A modification on the exponential cubic B-spline for numerical simulation of hyperbolic telegraph equations	2022	Ahmad Reza Haghighi Forouzan Rahimian Majid Roohi
+	Numerical simulation of three-dimensional telegraphic equation using cubic B-spline differential quadrature method	2017	R.C. Mittal Sumita Dahiya
+	High resolution numerical algorithm of order (2, 4, 4) for 2D quasi-linear hyperbolic equations based on half-step discretization on an unequal grid	2023	R. K. Mohanty Bishnu Pada Ghosh
+	Numerical solution of second-order hyperbolic telegraph equation via new cubic trigonometric B-splines approach	2017	Tahir Nazir Muhammad Abbas Muhammad Yaseen
+	Novel numerical method based on cubic B-splines for a class of nonlinear generalized telegraph equations in irregular domains	2019	Sergiy Reutskiy Yuhui Zhang Ji Lin HongGuang Sun
+	Numerical Solution of second order hyperbolic telegraph equation via new Cubic Trigonometric B-Splines Approach	2015	Tahir Nazir Muhammad Abbas Ahmad Izani Md. Ismail Ahmad Abd. Majid
+	Numerical Solution of second order hyperbolic telegraph equation via new Cubic Trigonometric B-Splines Approach	2015	Tahir Nazir Muhammad Abbas Ahmad Izani Md. Ismail Ahmad Zuhairi Abdul Majid
+	Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions	2017	Somveer Singh Vijay Kumar Patel Vineet Kumar Singh Emran Tohidi
+	High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation	2022	R. K. Mohanty Bishnu Pada Ghosh Urvashi Arora

Works That Cite This (119)

Action	Title	Year	Authors
+	Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations	2010	Samir Karaa
+ PDF Chat	An Operator-Difference Method for Telegraph Equations Arising in Transmission Lines	2011	Mehmet Emir Köksal
+	A homotopy technique for a fractional order multi-dimensional telegraph equation via the Laplace transform	2019	Amit Prakash P. Veeresha D. G. Prakasha Manish Goyal
+	Numerical study of multi-dimensional hyperbolic telegraph equations arising in nuclear material science via an efficient local meshless method	2021	Imtiaz Ahmad Aly R. Seadawy Hijaz Ahmad Phatiphat Thounthong Fuzhang Wang
+	A new unconditionally stable compact difference scheme of O for the 1D linear hyperbolic equation	2008	Hengfei Ding Yuxin Zhang
+	An unconditionally stable spline difference scheme of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si146.gif" display="inline" overflow="scroll"><mml:mi>O</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math> for solving the second-order 1D…	2009	Huan‐Wen Liu Li‐Bin Liu
+	Compact difference schemes for solving telegraphic equations with Neumann boundary conditions	2013	Li‐Bin Liu Huan‐Wen Liu
+	Numerical solution for fractional model of telegraph equation by using q-HATM	2018	P. Veeresha D. G. Prakasha
+	Analysis of a continuous Galerkin method with mesh modification for two-dimensional telegraph equation	2019	Zhihui Zhao Hong Li Yang Liu
+ PDF Chat	A Direct Meshless Method for Solving Two-Dimensional Second-Order Hyperbolic Telegraph Equations	2020	Fuzhang Wang Enran Hou

Works Cited by This (11)

Action	Title	Year	Authors
+ PDF Chat	Alternating Direction Methods for Hyperbolic Differential Equations	1962	Milton Lees
+	Stability and interval selection in the numerical integration of the equations describing ignition in a turbulent flow	1993	N. K. Bryksenkova R. S. Tyul’panov
+	A new discretization method of order four for the numerical solution of one-space dimensional second-order quasi-linear hyperbolic equation	2002	R. K. Mohanty Urvashi Arora
+	Superstable two-step methods for the numerical integration of general second order initial value problems	1985	M. M. Chawla
+ PDF Chat	Digital signal propagation in dispersive media	1999	P.M. Jordan Ashok Puri
+	Fourth‐order approximation for the three space dimensional certain mildly quasi‐linear hyperbolic equation	2001	R. K. Mohanty Urvashi Arora Manoj Jain
+	A positivity‐preserving nonstandard finite difference scheme for the damped wave equation	2004	Ronald E. Mickens P.M. Jordan
+	High Accuracy A.D.I. Methods for Hyperbolic Equations with Variable Coefficients	1973	S. McKee
+	A new positivity‐preserving nonstandard finite difference scheme for the DWE	2005	Ronald E. Mickens P.M. Jordan
+	Linear stability analysis and fourth‐order approximations at first time level for the two space dimensional mildly quasi‐linear hyperbolic equations	2001	R. K. Mohanty Urvashi Arora Manoj Jain