Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-642-00464-3_9 ◽

2009 ◽

pp. 92-103 ◽

Cited By ~ 2

Author(s):

V. L. Makarov ◽

L. I. Demkiv

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Poisson Equation ◽

Difference Method ◽

Boundary Effect ◽

Uniform Accuracy

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A New High Order Accurate, Finite Difference Method on Quasi-variable Meshes for the Numerical Solution of Three Dimensional Poisson Equation

Differential Equations and Dynamical Systems ◽

10.1007/s12591-019-00475-x ◽

2019 ◽

Author(s):

Neelesh Kumar

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Numerical Solution ◽

Poisson Equation ◽

Difference Method ◽

Three Dimensional ◽

High Order

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A second-order finite difference method for the resolution of a boundary value problem associated to a modified Poisson equation in spherical coordinates

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.04.034 ◽

2017 ◽

Vol 49 ◽

pp. 182-198 ◽

Cited By ~ 3

Author(s):

A. Brillard ◽

J.-F. Brilhac ◽

P. Gilot

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problem ◽

Poisson Equation ◽

Difference Method ◽

Boundary Value ◽

Second Order ◽

Spherical Coordinates

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Analyses on the finite difference method by Gibou et al. for Poisson equation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.09.009 ◽

2015 ◽

Vol 280 ◽

pp. 184-194 ◽

Cited By ~ 10

Author(s):

Gangjoon Yoon ◽

Chohong Min

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Poisson Equation ◽

Difference Method ◽

The Finite Difference Method

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Generalization of the Exact Solution of 1D Poisson Equation with Robin Boundary Conditions, Using the Finite Difference Method

Journal of Electromagnetic Analysis and Application ◽

10.4236/jemaa.2014.612038 ◽

2014 ◽

Vol 06 (12) ◽

pp. 372-381

Author(s):

Serigne Bira Gueye ◽

Kharouna Talla ◽

Cheikh Mbow

Keyword(s):

Exact Solution ◽

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Poisson Equation ◽

Difference Method ◽

Robin Boundary Conditions ◽

The Finite Difference Method ◽

Robin Boundary

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The Exact Formulation of the Inverse of the Tridiagonal Matrix for Solving the 1D Poisson Equation with the Finite Difference Method

Journal of Electromagnetic Analysis and Application ◽

10.4236/jemaa.2014.610030 ◽

2014 ◽

Vol 06 (10) ◽

pp. 303-308 ◽

Cited By ~ 2

Author(s):

Serigne Bira Gueye

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Poisson Equation ◽

Difference Method ◽

Tridiagonal Matrix ◽

Exact Formulation ◽

The Finite Difference Method

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Solution of Two Dimensional Poisson Equation Using Finite Difference Method with Uniform and Non-uniform Mesh Size

10.7176/apta/79-01 ◽

2019 ◽

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Poisson Equation ◽

Difference Method ◽

Mesh Size ◽

Uniform Mesh ◽

Two Dimensional

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A finite-difference method for the variable coefficient Poisson equation on hierarchical Cartesian meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2017.11.007 ◽

2018 ◽

Vol 355 ◽

pp. 59-77 ◽

Cited By ~ 7

Author(s):

Alice Raeli ◽

Michel Bergmann ◽

Angelo Iollo

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Poisson Equation ◽

Difference Method ◽

Variable Coefficient ◽

Cartesian Meshes

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The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2004.07.011 ◽

2005 ◽

Vol 202 (2) ◽

pp. 488-506 ◽

Cited By ~ 31

Author(s):

Z. Jomaa ◽

C. Macaskill

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Poisson Equation ◽

Difference Method ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Irregular Boundary ◽

The Poisson Equation

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Solution of 1D Poisson Equation with Neumann-Dirichlet and Dirichlet-Neumann Boundary Conditions, Using the Finite Difference Method

Journal of Electromagnetic Analysis and Application ◽

10.4236/jemaa.2014.610031 ◽

2014 ◽

Vol 06 (10) ◽

pp. 309-318 ◽

Cited By ~ 4

Author(s):

Serigne Bira Gueye ◽

Kharouna Talla ◽

Cheikh Mbow

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Poisson Equation ◽

Difference Method ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

The Finite Difference Method

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The Shortley–Weller embedded finite-difference method for the 3D Poisson equation with mixed boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2010.01.021 ◽

2010 ◽

Vol 229 (10) ◽

pp. 3675-3690 ◽

Cited By ~ 22

Author(s):

Z. Jomaa ◽

C. Macaskill

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Poisson Equation ◽

Difference Method ◽

Mixed Boundary ◽

Mixed Boundary Conditions

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