A new spectral Galerkin method for solving the two dimensional hyperbolic telegraph equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.08.003 ◽

2016 ◽

Vol 72 (7) ◽

pp. 1926-1942 ◽

Author(s):

Esmail Hesameddini ◽

Elham Asadolahifard

Keyword(s):

Galerkin Method ◽

Telegraph Equation ◽

Two Dimensional ◽

Spectral Galerkin Method

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Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.10.012 ◽

2019 ◽

Vol 136 ◽

pp. 257-278 ◽

Author(s):

Ying Wang ◽

Liquan Mei ◽

Qi Li ◽

Linlin Bu

Keyword(s):

Schrödinger Equation ◽

Galerkin Method ◽

Schrodinger Equation ◽

Two Dimensional ◽

Fractional Schrödinger Equation ◽

Spectral Galerkin Method ◽

Fractional Schrodinger Equation

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Fully spectral‐Galerkin method for the one‐ and two‐dimensional fourth‐order time‐fractional partial integro‐differential equations with a weakly singular kernel

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22634 ◽

2020 ◽

Author(s):

Farhad Fakhar‐Izadi

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Fourth Order ◽

Singular Kernel ◽

Two Dimensional ◽

Weakly Singular Kernel ◽

Weakly Singular ◽

Spectral Galerkin Method ◽

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Analysis of a continuous Galerkin method with mesh modification for two-dimensional telegraph equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.07.005 ◽

2020 ◽

Vol 79 (3) ◽

pp. 588-602 ◽

Author(s):

Zhihui Zhao ◽

Hong Li ◽

Yang Liu

Keyword(s):

Galerkin Method ◽

Telegraph Equation ◽

Two Dimensional ◽

Continuous Galerkin

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Finite difference/spectral-Galerkin method for a two-dimensional distributed-order time–space fractional reaction–diffusion equation

Applied Mathematics Letters ◽

10.1016/j.aml.2018.06.005 ◽

2018 ◽

Vol 85 ◽

pp. 157-163 ◽

Author(s):

Shimin Guo ◽

Liquan Mei ◽

Zhengqiang Zhang ◽

Yutao Jiang

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Galerkin Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Two Dimensional ◽

Spectral Galerkin Method ◽

Distributed Order ◽

Fractional Reaction

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An efficient spectral-Galerkin method for solving two-dimensional nonlinear system of advection–diffusion–reaction equations

Engineering With Computers ◽

10.1007/s00366-019-00867-1 ◽

2019 ◽

Author(s):

Farhad Fakhar-Izadi

Keyword(s):

Nonlinear System ◽

Galerkin Method ◽

Diffusion Reaction ◽

Two Dimensional ◽

Advection Diffusion ◽

Spectral Galerkin Method ◽

Reaction Equations ◽

Advection Diffusion Reaction Equations

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Application of spectral Galerkin method for multilayer consolidation of soft soils stabilised by vertical drains or stone columns

Computers and Geotechnics ◽

10.1016/j.compgeo.2015.06.015 ◽

2015 ◽

Vol 69 ◽

pp. 529-539 ◽

Author(s):

Rohan T.R. Walker ◽

Buddhima Indraratna

Keyword(s):

Galerkin Method ◽

Stone Columns ◽

Vertical Drains ◽

Spectral Galerkin Method

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Multi-level spectral Galerkin method for the Navier–Stokes equations, II: time discretization

Advances in Computational Mathematics ◽

10.1007/s10444-004-7640-1 ◽

2006 ◽

Vol 25 (4) ◽

pp. 403-433 ◽

Author(s):

Yinnian He ◽

Kam-Moon Liu

Keyword(s):

Galerkin Method ◽

Stokes Equations ◽

Time Discretization ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Spectral Galerkin Method ◽

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An element-free Galerkin method for simulation of stationary two-dimensional shallow water flows in rivers

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(99)00087-0 ◽

2000 ◽

Vol 182 (1-2) ◽

pp. 89-107 ◽

Author(s):

Chongjiang Du

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Two Dimensional ◽

Element Free Galerkin Method ◽

Water Flows ◽

Element Free Galerkin ◽

Shallow Water Flows ◽

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On the use of the discontinuous Galerkin method for numerical simulation of two-dimensional compressible turbulence with shocks

Science China Physics Mechanics and Astronomy ◽

10.1007/s11433-014-5424-2 ◽

2014 ◽

Vol 57 (9) ◽

pp. 1758-1770 ◽

Author(s):

Jian Yu ◽

Chao Yan ◽

ZhenHua Jiang

Keyword(s):

Numerical Simulation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Compressible Turbulence ◽

Two Dimensional

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Numerical solution of the unsteady diffusion-convection-reaction equation based on improved spectral Galerkin method

AIP Advances ◽

10.1063/1.5023332 ◽

2018 ◽

Vol 8 (4) ◽

pp. 045314 ◽

Author(s):

Jiaqi Zhong ◽

Cheng Zeng ◽

Yupeng Yuan ◽

Yuzhe Zhang ◽

Ye Zhang

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Reaction Equation ◽

Spectral Galerkin Method ◽

Diffusion Convection

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