Higher order difference numerical analyses  of a 2D Poisson equation by the interpolation finite difference method and calculation  error evaluation

Tsugio Fukuchi

doi:10.1063/5.0018915

Higher order difference numerical analyses of a 2D Poisson equation by the interpolation finite difference method and calculation error evaluation

AIP Advances ◽

10.1063/5.0018915 ◽

2020 ◽

Vol 10 (12) ◽

pp. 125009

Author(s):

Tsugio Fukuchi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Poisson Equation ◽

Difference Method ◽

Higher Order ◽

Numerical Analyses ◽

Calculation Error ◽

Error Evaluation ◽

Order Difference

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HIGHER ORDER MULTIPOINT MESHLESS FINITE DIFFERENCE METHOD FOR TWO-SCALE ANALYSIS OF HETEROGENEOUS MATERIALS

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2019028866 ◽

2019 ◽

Vol 17 (3) ◽

pp. 239-260

Author(s):

Irena Jaworska

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Heterogeneous Materials ◽

Higher Order ◽

Scale Analysis ◽

Meshless Finite Difference Method

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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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Comparison of a Spectral Method with a Higher-Order Finite Difference Method in Direct Numerical Simulations of Three-Dimensional Homogeneous Turbulence.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.69.541 ◽

2003 ◽

Vol 69 (679) ◽

pp. 541-546 ◽

Cited By ~ 1

Author(s):

Katsunori YOSHIMATSU ◽

Takashi ISHIHARA ◽

Yukio KANEDA ◽

Satoshi NAKAI ◽

Hidetoshi NISHIDA ◽

...

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Numerical Simulations ◽

Spectral Method ◽

Difference Method ◽

Three Dimensional ◽

Higher Order ◽

Direct Numerical Simulations ◽

Homogeneous Turbulence

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An Accurate Finite-Difference Method for Higher Order Waveguide Modes

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.1968.1126856 ◽

1968 ◽

Vol 16 (12) ◽

pp. 1007-1017 ◽

Cited By ~ 37

Author(s):

M.J. Beaubien ◽

A. Wexler

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Higher Order ◽

Waveguide Modes

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Beam propagation analysis using higher-order full-vectorial finite-difference method

2012 12th International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD) ◽

10.1109/nusod.2012.6316539 ◽

2012 ◽

Author(s):

Cheng-Han Du ◽

Yih-Peng Chiou

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Beam Propagation ◽

Higher Order ◽

Propagation Analysis

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Higher Order Fitted Operator Finite Difference Method for Two-Parameter Parabolic Convection-Diffusion Problems

International Journal Of Engineering & Applied Sciences ◽

10.24107/ijeas.644160 ◽

2019 ◽

Vol 11 (4) ◽

pp. 455-467

Author(s):

Tesfaye Bullo ◽

Gemechis Duressa ◽

Guy DEGLA

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Higher Order ◽

Convection Diffusion ◽

Fitted Operator ◽

Two Parameter ◽

Diffusion Problems

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Numerical storm surge model with higher order finite difference method of lines for the coast of Bangladesh

Acta Oceanologica Sinica ◽

10.1007/s13131-019-1385-7 ◽

2019 ◽

Vol 38 (6) ◽

pp. 100-116

Author(s):

Gour Chandra Paul ◽

Md. Emran Ali

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Storm Surge ◽

Difference Method ◽

Method Of Lines ◽

Higher Order

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Meshless Finite Difference Method with Higher Order Approximation—Applications in Mechanics

Archives of Computational Methods in Engineering ◽

10.1007/s11831-012-9068-y ◽

2012 ◽

Vol 19 (1) ◽

pp. 1-49 ◽

Cited By ~ 19

Author(s):

Sławomir Milewski

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Order Approximation ◽

Higher Order ◽

Meshless Finite Difference Method

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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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