High-order difference schemes for two-dimensional elliptic equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690010108 ◽

1985 ◽

Vol 1 (1) ◽

pp. 71-80 ◽

Author(s):

Murli M. Gupta ◽

Ram P. Manohar ◽

John W. Stephenson

Keyword(s):

Elliptic Equations ◽

Difference Schemes ◽

Two Dimensional ◽

Order Difference

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Construction of high-order accuracy difference schemes for quasilinear elliptic equations III. Two-dimensional case

Lithuanian Mathematical Journal ◽

10.1007/bf00969970 ◽

1980 ◽

Vol 19 (3) ◽

pp. 344-353

Author(s):

M. P. Sapagovas

Keyword(s):

Elliptic Equations ◽

Difference Schemes ◽

High Order Accuracy ◽

Dimensional Case ◽

Quasilinear Elliptic Equations ◽

Two Dimensional ◽

Order Accuracy ◽

Accuracy Difference ◽

Quasilinear Elliptic

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High-order implicit finite difference schemes for the two-dimensional Poisson equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.006 ◽

2017 ◽

Vol 309 ◽

pp. 222-244

Author(s):

Miguel Uh Zapata ◽

Reymundo Itzá Balam

Keyword(s):

Finite Difference ◽

Poisson Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Implicit Finite Difference

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Uniform high-order difference schemes for a singularly perturbed two-point boundary value problem

Mathematics of Computation ◽

10.1090/s0025-5718-1987-0878690-0 ◽

1987 ◽

Vol 48 (178) ◽

pp. 551 ◽

Author(s):

Eugene C. Gartland

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Difference Schemes ◽

Singularly Perturbed ◽

Point Boundary ◽

Order Difference

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Superconvergence of High Order Finite Difference Schemes Based on Variational Formulation for Elliptic Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01144-w ◽

2020 ◽

Vol 82 (2) ◽

Author(s):

Hao Li ◽

Xiangxiong Zhang

Keyword(s):

Finite Difference ◽

Elliptic Equations ◽

Variational Formulation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

High Order Finite Difference

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A numerical method for diffusion–convection equation using high-order difference schemes

Computer Physics Communications ◽

10.1016/j.cpc.2010.03.008 ◽

2010 ◽

Vol 181 (7) ◽

pp. 1224-1230 ◽

Author(s):

A. Golbabai ◽

M.M. Arabshahi

Keyword(s):

Numerical Method ◽

Difference Schemes ◽

Order Difference ◽

Convection Equation ◽

Diffusion Convection

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Fast high order difference schemes for the time fractional telegraph equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22423 ◽

2019 ◽

Vol 36 (1) ◽

pp. 154-172 ◽

Author(s):

Yuxiang Liang ◽

Zhongsheng Yao ◽

Zhibo Wang

Keyword(s):

Telegraph Equation ◽

Difference Schemes ◽

Order Difference ◽

Fractional Telegraph Equation

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Some high-order difference schemes for the distributed-order differential equations

Journal of Computational Physics ◽

10.1016/j.jcp.2015.05.047 ◽

2015 ◽

Vol 298 ◽

pp. 337-359 ◽

Author(s):

Guang-hua Gao ◽

Hai-wei Sun ◽

Zhi-zhong Sun

Keyword(s):

Differential Equations ◽

Difference Schemes ◽

Order Difference ◽

Distributed Order

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Variational-difference schemes for linear second-order elliptic equations in a two-dimensional region with piecewise smooth boundary

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(68)90008-6 ◽

1968 ◽

Vol 8 (1) ◽

pp. 129-152 ◽

Author(s):

L.A. Oganesyan ◽

L.A. Rukhovets

Keyword(s):

Elliptic Equations ◽

Smooth Boundary ◽

Second Order ◽

Piecewise Smooth ◽

Difference Schemes ◽

Two Dimensional ◽

Piecewise Smooth Boundary ◽

Second Order Elliptic Equations

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Solution of nonlinear boundary value problems—VI. Application of compact high-order-difference schemes

Chemical Engineering Science ◽

10.1016/0009-2509(72)85044-9 ◽

1972 ◽

Vol 27 (10) ◽

pp. 1829-1834 ◽

Author(s):

M. Kubíček ◽

V. Hlaváček ◽

J. Caha

Keyword(s):

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

Difference Schemes ◽

Nonlinear Boundary Value Problems ◽

Order Difference ◽

Nonlinear Boundary Value

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The Conservative Time High-Order AVF Compact Finite Difference Schemes for Two-Dimensional Variable Coefficient Acoustic Wave Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-00983-6 ◽

2019 ◽

Vol 80 (2) ◽

pp. 1279-1309 ◽

Author(s):

Baohui Hou ◽

Dong Liang ◽

Hongmei Zhu

Keyword(s):

Finite Difference ◽

Acoustic Wave ◽

Variable Coefficient ◽

Wave Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Compact Finite Difference ◽

Dimensional Variable

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