A fourth-order difference method for elliptic equations with nonlinear first derivative terms

M. K. Jain; R. K. Jain; R. K. Mohanty

doi:10.1002/num.1690050203

A fourth-order difference method for elliptic equations with nonlinear first derivative terms

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690050203 ◽

1989 ◽

Vol 5 (2) ◽

pp. 87-95 ◽

Cited By ~ 20

Author(s):

M. K. Jain ◽

R. K. Jain ◽

R. K. Mohanty

Keyword(s):

Fourth Order ◽

Difference Method ◽

Elliptic Equations ◽

Order Difference ◽

First Derivative

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A simple form for the fourth order difference method for 3-D elliptic equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.05.156 ◽

2007 ◽

Vol 184 (2) ◽

pp. 589-598 ◽

Cited By ~ 6

Author(s):

Mehdi Dehghan ◽

Seyedeh Mahboubeh Molavi-Arabshahi

Keyword(s):

Fourth Order ◽

Simple Form ◽

Difference Method ◽

Elliptic Equations ◽

Order Difference

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Fourth-order finite difference method for three-dimensional elliptic equations with nonlinear first-derivative terms

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690080606 ◽

1992 ◽

Vol 8 (6) ◽

pp. 575-591 ◽

Cited By ~ 21

Author(s):

M. K. Jain ◽

R. K. Jain ◽

R. K. Mohanty

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Fourth Order ◽

Difference Method ◽

Elliptic Equations ◽

Three Dimensional ◽

First Derivative

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Technical note: The numerical solution of the system of 3-D nonlinear elliptic equations with mixed derivatives and variable coefficients using fourth-order difference methods

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690110303 ◽

1995 ◽

Vol 11 (3) ◽

pp. 187-197 ◽

Cited By ~ 17

Author(s):

R. K. Mohanty ◽

M. K. Jain

Keyword(s):

Numerical Solution ◽

Fourth Order ◽

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Variable Coefficients ◽

Technical Note ◽

Order Difference ◽

Nonlinear Elliptic ◽

Mixed Derivatives ◽

Difference Methods

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A fourth order difference method for the incompressible Navier-Stokes equations

Numerical Simulations of Incompressible Flows ◽

10.1142/9789812796837_0015 ◽

2003 ◽

pp. 263-276 ◽

Cited By ~ 2

Author(s):

Bertil Gustafsson ◽

Per Lötstedt ◽

Anders Göran

Keyword(s):

Fourth Order ◽

Difference Method ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Order Difference

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Fourth-order finite difference method for 2D parabolic partial differential equations with nonlinear first-derivative terms

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690080102 ◽

1992 ◽

Vol 8 (1) ◽

pp. 21-31 ◽

Cited By ~ 8

Author(s):

M. K. Jain ◽

R. K. Jain ◽

R. K. Mohanty

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Finite Difference Method ◽

Differential Equations ◽

Fourth Order ◽

Difference Method ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

First Derivative

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A higher-order difference method for 3-D parabolic partial differential equations with nonlinear first derivative terms

International Journal of Computer Mathematics ◽

10.1080/00207169108803961 ◽

1991 ◽

Vol 38 (1-2) ◽

pp. 101-112 ◽

Cited By ~ 2

Author(s):

M. K. Jain ◽

R. K. Jain ◽

R. K. Mohanty

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Difference Method ◽

Higher Order ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Order Difference ◽

First Derivative

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A fourth order difference method for the one-dimensional general quasilinear parabolic partial differential equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690060403 ◽

1990 ◽

Vol 6 (4) ◽

pp. 311-319 ◽

Cited By ~ 35

Author(s):

M. K. Jain ◽

R. K. Jain ◽

R. K. Mohanty

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Fourth Order ◽

Difference Method ◽

Parabolic Partial Differential Equation ◽

Partial Differential ◽

Order Difference ◽

One Dimensional ◽

The One ◽

Quasilinear Parabolic

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A Fourth Order Difference Method For a Nonlinear Elliptic PDEs in Two Dimension Space

General Letters in Mathematics ◽

10.31559/glm2016.2.3.3 ◽

2017 ◽

Vol 2 (3) ◽

Author(s):

P. K. Pandey

Keyword(s):

Fourth Order ◽

Difference Method ◽

Elliptic Pdes ◽

Order Difference ◽

Two Dimension ◽

Nonlinear Elliptic ◽

Dimension Space

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Fourth-order difference method for quasilinear Poisson equation in cylindrical symmetry

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.1640100403 ◽

1994 ◽

Vol 10 (4) ◽

pp. 291-296 ◽

Cited By ~ 5

Author(s):

M. K. Jain ◽

R. K. Jain ◽

Meera Krishna

Keyword(s):

Poisson Equation ◽

Fourth Order ◽

Difference Method ◽

Cylindrical Symmetry ◽

Order Difference

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Application of fourth-order difference method to prediction of turbulence control in two-dimensional channel with surface roughness

International Journal for Numerical Methods in Fluids ◽

10.1002/(sici)1097-0363(19971130)25:10<1107::aid-fld609>3.0.co;2-m ◽

1997 ◽

Vol 25 (10) ◽

pp. 1107-1117 ◽

Cited By ~ 1

Author(s):

Hiroshi Tokunaga ◽

Akira Yamauchi

Keyword(s):

Surface Roughness ◽

Fourth Order ◽

Difference Method ◽

Two Dimensional ◽

Order Difference ◽

Turbulence Control

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