A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions
DOI10.1016/j.amc.2012.01.006zbMath1246.65174OpenAlexW2103725449WikidataQ115361596 ScholiaQ115361596MaRDI QIDQ434692
Ram Jiwari, Sapna Pandit, Ramesh Chand Mittal
Publication date: 16 July 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.01.006
numerical resultsRunge-Kutta methodsemidiscretizationdifferential quadrature methodGauss-Lobatto-Chebyshev grid pointstwo dimensional telegraph equation
Initial-boundary value problems for second-order hyperbolic equations (35L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items
Cites Work
- Unnamed Item
- Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method
- Combination of meshless local weak and strong (MLWS) forms to solve the two-dimensional hyperbolic telegraph equation
- Numerical solution of telegraph equation using interpolating scaling functions
- Numerical solution of two-dimensional reaction-diffusion Brusselator system
- Singularly perturbed telegraph equations with applications in the random walk theory
- An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation
- An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients
- Numerical simulation of two-dimensional sine-Gordon solitons by differential quadrature method
- Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
- Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
- An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
- The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
- Differential Quadrature Method for Two-Dimensional Burgers' Equations
- Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method
- The combination of collocation, finite difference, and multigrid methods for solution of the two-dimensional wave equation
- A numerical method for solving the hyperbolic telegraph equation
- High order compact solution of the one-space-dimensional linear hyperbolic equation
- A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions
- Wave splitting of the telegraph equation in R 3 and its application to inverse scattering
- An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions
- The use of Chebyshev cardinal functions for solution of the second‐order one‐dimensional telegraph equation
- High order implicit collocation method for the solution of two‐dimensional linear hyperbolic equation
- New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations