Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 56, 1995 - Issue 3-4
Submit an article Journal homepage
16
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations

R. K. Mohanty Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India
,
Kochurani George Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India
&
M. K. Jain Department of Mathematics and Physical Sciences, Faculty of Science, University of Mauritius, Reduit, Mauritius
Pages 185-198 | Received 11 Oct 1994, Published online: 19 Mar 2007

Citations (18)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (1)

R. K. Mohanty, M. K. Jain & Urvashi Arora. (2002) An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions. International Journal of Computer Mathematics 79:1, pages 133-142.
Read now

Articles from other publishers (17)

Ahmed H. Msmali, Mohammad Tamsir & Abdullah Ali H. Ahmadini. (2024) Unified and extended trigonometric B-spline DQM for the numerical treatment of three-dimensional wave equations. Ain Shams Engineering Journal 15:2, pages 102382.
Crossref
Wenjian Yu & Michael MascagniWenjian Yu & Michael Mascagni. 2023. Monte Carlo Methods for Partial Differential Equations With Applications to Electronic Design Automation. Monte Carlo Methods for Partial Differential Equations With Applications to Electronic Design Automation 27 48 .
R. K. Mohanty & Gunjan Khurana. (2018) A New Fast Algorithm Based on Half-Step Discretization for 3D Quasilinear Hyperbolic Partial Differential Equations. International Journal of Computational Methods 16:01, pages 1850090.
Crossref
Bolong Zhang, Wenjian Yu & Michael Mascagni. (2019) Revisiting Kac’s method: A Monte Carlo algorithm for solving the Telegrapher’s equations. Mathematics and Computers in Simulation 156, pages 178-193.
Crossref
Geng Zhang, Dan Cai & Yong Du. (2017) Improved ADI Scheme for Linear Hyperbolic Equations: Extension to Nonlinear Cases and Compact ADI Schemes. Journal of Scientific Computing 72:2, pages 500-521.
Crossref
E. Shivanian. (2015) Meshless local Petrov–Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation. Engineering Analysis with Boundary Elements 50, pages 249-257.
Crossref
R.K. Mohanty, Suruchi Singh & Swarn Singh. (2014) A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations. Applied Mathematics and Computation 232, pages 529-541.
Crossref
R.K. Mohanty. (2014) New high accuracy super stable alternating direction implicit methods for two and three dimensional hyperbolic damped wave equations. Results in Physics 4, pages 156-163.
Crossref
K.M. Liew & R.J. Cheng. (2013) Numerical study of the three-dimensional wave equation using the mesh-free kp-Ritz method. Engineering Analysis with Boundary Elements 37:7-8, pages 977-989.
Crossref
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.
Crossref
Hai Na Sun & Rong Jun Cheng. (2011) The Meshless Reproducing Kernel Particle Method for Two-Dimensional Linear Hyperbolic Equations. Advanced Materials Research 365, pages 73-76.
Crossref
Hai Na Sun, Rong Jun Cheng & Hong Xia Ge. (2011) Meshless Method for the Numerical Solution of a Kind of Linear Hyperbolic Equations. Applied Mechanics and Materials 101-102, pages 586-590.
Crossref
Rong Jun Cheng & Hong Xia Ge. (2011) Meshless Method for a Kind of Three-Dimensional Hyperbolic Equation. Applied Mechanics and Materials 101-102, pages 1126-1129.
Crossref
J. Rashidinia, R. Mohammadi & R. Jalilian. (2007) Spline methods for the solution of hyperbolic equation with variable coefficients. Numerical Methods for Partial Differential Equations 23:6, pages 1411-1419.
Crossref
R.K. Mohanty. (2005) An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients. Applied Mathematics and Computation 162:2, pages 549-557.
Crossref
R. K. Mohanty, Urvashi Arora & M. K. Jain. (2001) Fourth‐order approximation for the three space dimensional certain mildly quasi‐linear hyperbolic equation. Numerical Methods for Partial Differential Equations 17:3, pages 277-289.
Crossref
R.K. Mohanty, M.K. Jain & Kochurani George. (1998) Fourth-order approximations at first time level, linear stability analysis and the numerical solution of multidimensional second-order nonlinear hyperbolic equations in polar coordinates. Journal of Computational and Applied Mathematics 93:1, pages 1-12.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.