A Weighted Error Estimate for a Finite-Difference Scheme of Increased Approximation Order for a Two-Dimensional Poisson Equation with Allowance for the Dirichlet Boundary Condition

N. V. Mayko

doi:10.1007/s10559-018-0014-3

A Weighted Error Estimate for a Finite-Difference Scheme of Increased Approximation Order for a Two-Dimensional Poisson Equation with Allowance for the Dirichlet Boundary Condition

Cybernetics and Systems Analysis ◽

10.1007/s10559-018-0014-3 ◽

2018 ◽

Vol 54 (1) ◽

pp. 130-138 ◽

Cited By ~ 1

Author(s):

N. V. Mayko

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Error Estimate ◽

Difference Scheme ◽

Dirichlet Boundary Condition ◽

Finite Difference Scheme ◽

Dirichlet Boundary ◽

Approximation Order ◽

Two Dimensional ◽

Weighted Error

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The Finite-Difference Scheme of Higher Order of Accuracy for the Two-Dimensional Poisson Equation in a Rectangle with Regard for the Effect of the Dirichlet Boundary Condition

Cybernetics and Systems Analysis ◽

10.1007/s10559-018-0063-7 ◽

2018 ◽

Vol 54 (4) ◽

pp. 624-635

Author(s):

N. V. Mayko

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Poisson Equation ◽

Dirichlet Boundary Condition ◽

Finite Difference Scheme ◽

Dirichlet Boundary ◽

Higher Order ◽

Two Dimensional ◽

Order Of Accuracy

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Direct Numerical Simulation of Flow around a Two-Dimensional Circular Cylinder by Higher-Order Finite Difference Scheme. An Investigation of the Outflow Boundary Condition.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.62.2942 ◽

1996 ◽

Vol 62 (600) ◽

pp. 2942-2949

Author(s):

Toshio MIYAUCHI ◽

Toru HIRATA ◽

Mamoru TANAHASHI

Keyword(s):

Numerical Simulation ◽

Boundary Condition ◽

Finite Difference ◽

Circular Cylinder ◽

Direct Numerical Simulation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Two Dimensional ◽

Outflow Boundary Condition ◽

Outflow Boundary

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Boundary Effect in the Error Estimate of the Finite-Difference Scheme for Two-Dimensional Poisson’s Equation

Cybernetics and Systems Analysis ◽

10.1007/s10559-016-9877-3 ◽

2016 ◽

Vol 52 (5) ◽

pp. 758-769 ◽

Cited By ~ 5

Author(s):

N. V. Mayko ◽

V. L. Ryabichev

Keyword(s):

Finite Difference ◽

Error Estimate ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Boundary Effect ◽

Poisson’S Equation ◽

Two Dimensional ◽

Poisson's Equation

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A new stable finite difference scheme and its error analysis for two‐dimensional singularly perturbed convection–diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22732 ◽

2020 ◽

Author(s):

Kamalesh Kumar ◽

Pramod Chakravarthy Podila

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Two Dimensional ◽

Convection Diffusion

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A high-order ADI finite difference scheme for a 3D reaction-diffusion equation with neumann boundary condition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21726 ◽

2012 ◽

Vol 29 (3) ◽

pp. 778-798 ◽

Cited By ~ 9

Author(s):

Wenyuan Liao

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

High Order ◽

Reaction Diffusion Equation

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Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition

Advances in Difference Equations ◽

10.1186/s13662-019-2304-0 ◽

2019 ◽

Vol 2019 (1) ◽

Cited By ~ 1

Author(s):

Yang Zhang ◽

Kun Wang ◽

Rui Guo

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Helmholtz Equation ◽

Finite Difference Scheme ◽

Robin Boundary Condition ◽

Sixth Order ◽

Robin Boundary

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Appendix 4C: Finite difference scheme to solve the initial and boundary condition problem of a diffusion controlled adsorption model

Studies in Interface Science - Dynamics of Adsorption at Liquid Interfaces - Theory, Experiment, Application ◽

10.1016/s1383-7303(06)80031-1 ◽

1995 ◽

pp. 518-520

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Adsorption Model ◽

Diffusion Controlled ◽

Condition Problem ◽

Controlled Adsorption

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Accuracy of the Explicit Planar Free-Surface Boundary Condition Implemented in a Fourth-Order Staggered-Grid Velocity-Stress Finite-Difference Scheme

Bulletin of the Seismological Society of America ◽

10.1785/0120000244 ◽

2001 ◽

Vol 91 (3) ◽

pp. 617-623 ◽

Cited By ~ 39

Author(s):

E. Gottschammer

Keyword(s):

Boundary Condition ◽

Free Surface ◽

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Staggered Grid ◽

Surface Boundary ◽

Free Surface Boundary Condition ◽

Surface Boundary Condition

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A finite difference scheme for steady, supersonic, two-dimensional, compressible flow of real gases

Computers & Mathematics with Applications ◽

10.1016/0898-1221(92)90006-4 ◽

1992 ◽

Vol 24 (4) ◽

pp. 49-59 ◽

Cited By ~ 2

Author(s):

P. Glaister

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Compressible Flow ◽

Finite Difference Scheme ◽

Two Dimensional

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A fully implicit finite-difference scheme for two-dimensional Burgers’ equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00091-7 ◽

2003 ◽

Vol 137 (1) ◽

pp. 131-137 ◽

Cited By ~ 67

Author(s):

A.Refik Bahadır

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Two Dimensional ◽

Burgers Equations ◽

Fully Implicit ◽

Implicit Finite Difference Scheme ◽

Implicit Finite Difference

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