New explicit group iterative methods in the solution of three dimensional hyperbolic telegraph equations

DOI10.1016/j.jcp.2015.03.052zbMath1349.65309OpenAlexW2084181523MaRDI QIDQ350015

Lee Ming Kew, Norhashidah Hj. Mohd. Ali

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.03.052

zbMATH Keywords

finite differenceunconditionally stableexplicit group methodsrotated gridsthree dimensional telegraph equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (9)

A new fourth-order explicit group method in the solution of two-dimensional fractional Rayleigh-Stokes problem for a heated generalized second-grade fluid ⋮ Numerical study of multi-dimensional hyperbolic telegraph equations arising in nuclear material science via an efficient local meshless method ⋮ Higher‐order algorithms for stable solutions of fractional time‐dependent nonlinear telegraph equations in space ⋮ Numerical simulation of three-dimensional telegraphic equation using cubic B-spline differential quadrature method ⋮ A new spectral Galerkin method for solving the two dimensional hyperbolic telegraph equation ⋮ Modal Hermite spectral collocation method for solving multi-dimensional hyperbolic telegraph equations ⋮ New group iterative schemes in the numerical solution of the two-dimensional time fractional advection-diffusion equation ⋮ Efficient hybrid group iterative methods in the solution of two-dimensional time fractional cable equation ⋮ On skewed grid point iterative method for solving 2D hyperbolic telegraph fractional differential equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combination of meshless local weak and strong (MLWS) forms to solve the two-dimensional hyperbolic telegraph equation
• Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation
• 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 operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients
• New explicit group iterative methods in the solution of two dimensional hyperbolic equations
• Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
• An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions
• An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
• 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
• A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions
• An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions
• The numerical solution of the telegraph equation by the alternating group explicit (AGE) method
• Group explicit methods for the numerical solution of first-order hyperbolic problems in one dependent variable
• 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

This page was built for publication: New explicit group iterative methods in the solution of three dimensional hyperbolic telegraph equations