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

Download Full-text

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

Download Full-text

High order difference schemes with reduced dispersion for hyperbolic differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(85)90013-5 ◽

1985 ◽

Vol 12-13 ◽

pp. 145-161 ◽

Author(s):

P.J. Van Der Houwen ◽

B.S. Sommeijer

Keyword(s):

Differential Equations ◽

Difference Schemes ◽

Order Difference ◽

Hyperbolic Differential Equations

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.10.011 ◽

2017 ◽

Vol 112 ◽

pp. 126-145 ◽

Author(s):

Yanyan Yu ◽

Weihua Deng ◽

Yujiang Wu ◽

Jing Wu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Difference Schemes ◽

Fractional Partial Differential Equations ◽

Third Order ◽

Partial Differential ◽

Order Difference

Download Full-text

Generalized three-point difference schemes of high-order accuracy for systems of second-order nonlinear ordinary differential equations

Differential Equations ◽

10.1134/s0012266109070088 ◽

2009 ◽

Vol 45 (7) ◽

pp. 998-1019 ◽

Author(s):

L. B. Gnativ ◽

M. V. Kutniv ◽

V. L. Makarov

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Difference Schemes ◽

High Order Accuracy ◽

Nonlinear Ordinary Differential Equations ◽

Download Full-text

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

Download Full-text

High order difference methods for system of id nonlinear parabolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207169008803938 ◽

1990 ◽

Vol 37 (1-2) ◽

pp. 105-112 ◽

Author(s):

M.K. Jain ◽

R.K. Jain ◽

R.K. Mohanty

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Order Difference ◽

Nonlinear Parabolic ◽

Difference Methods

Download Full-text