High order difference schemes using the local anisotropic basis function method

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109549 ◽

2020 ◽

Vol 415 ◽

pp. 109549

Author(s):

J.R.C. King ◽

S.J. Lind ◽

A.M.A. Nasar

Keyword(s):

Basis Function ◽

Function Method ◽

Difference Schemes ◽

Order 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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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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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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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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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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Design of High-Order Difference Scheme and Analysis of Solution Characteristics—Part I: General Formulation of High-Order Difference Schemes and Analysis of Convective Stability

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790701372769 ◽

2007 ◽

Vol 52 (3) ◽

pp. 231-254 ◽

Author(s):

W. W. Jin ◽

W. Q. Tao

Keyword(s):

Difference Scheme ◽

Difference Schemes ◽

Convective Stability ◽

Order Difference

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Single cell high order difference schemes for Poisson’s equation in three variables

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.07.126 ◽

2007 ◽

Vol 186 (1) ◽

pp. 548-557 ◽

Author(s):

Godfrey Saldanha

Keyword(s):

Single Cell ◽

Difference Schemes ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Order Difference

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Stability and convergence of high-order difference schemes for parabolic partial differential equations

Ukrainian Mathematical Journal ◽

10.1007/bf01089752 ◽

1981 ◽

Vol 32 (3) ◽

pp. 189-196

Author(s):

Kh. A. Alibekov ◽

P. E. Sobolevskii

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Difference Schemes ◽

Stability And Convergence ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Order Difference

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Iterative methods and high-order difference schemes for 2D elliptic problems with mixed derivative

Journal of Applied Mathematics and Computing ◽

10.1007/bf02832060 ◽

2006 ◽

Vol 22 (3) ◽

pp. 349-363 ◽

Author(s):

Michel Fournié ◽

Samir Karaa

Keyword(s):

Iterative Methods ◽

Elliptic Problems ◽

Difference Schemes ◽

Mixed Derivative ◽

Order Difference

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