Finite difference method and algebraic polynomial interpolation for numerically solving Poisson's equation over arbitrary domains

AIP Advances ◽

10.1063/1.4885555 ◽

2014 ◽

Vol 4 (6) ◽

pp. 060701 ◽

Author(s):

Tsugio Fukuchi

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Algebraic Polynomial ◽

Polynomial Interpolation ◽

Poisson’S Equation ◽

Poisson's Equation

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Relative and absolute error control in a finite-difference method solution of Poisson's equation

International Journal of Mathematical Education in Science and Technology ◽

10.1080/0020739x.2011.622800 ◽

2011 ◽

pp. 1-10

Author(s):

J.S.C. Prentice

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Error Control ◽

Absolute Error ◽

Poisson’S Equation ◽

Poisson's Equation

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Fuzzy finite difference method for solving fuzzy Poisson’s equation

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-190408 ◽

2019 ◽

Vol 37 (4) ◽

pp. 5281-5296

Author(s):

M. Abdi ◽

T. Allahviranloo

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Poisson’S Equation ◽

Poisson's Equation

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A DECOMPOSITION FINITE DIFFERENCE METHOD FOR THE FOURTH ORDER ACCURATE SOLUTION OF POISSON'S EQUATION ON GENERAL REGIONS

International Journal of High Speed Computing ◽

10.1142/s0129053391000139 ◽

1991 ◽

Vol 03 (02) ◽

pp. 89-106 ◽

Author(s):

ANITA MAYO

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Fourth Order ◽

Difference Method ◽

Accurate Solution ◽

Poisson’S Equation ◽

Poisson's Equation

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Effective Condition Number of Finite Difference Method for Poisson's Equation Involving Boundary Singularities

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2011.572267 ◽

2011 ◽

Vol 32 (6) ◽

pp. 659-681 ◽

Author(s):

Zi-Cai Li ◽

Hung-Tsai Huang ◽

Chien-Sen Huang ◽

Tzon-Tzer Lu ◽

Qing Fang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Condition Number ◽

Difference Method ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Effective Condition Number ◽

Effective Condition

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Finite Difference Method for Solving Poisson’s Equation in Two Dimensions with Alternating Direction Implicit Method

10.7176/apta/85-01 ◽

2021 ◽

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Two Dimensions ◽

Implicit Method ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Alternating Direction Implicit Method ◽

Alternating Direction Implicit ◽

Alternating Direction

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Full-vectorial analysis of optical waveguides by the finite difference method based on polynomial interpolation

Chinese Physics ◽

10.1088/1009-1963/15/1/023 ◽

2006 ◽

Vol 15 (1) ◽

pp. 143-148 ◽

Author(s):

Xiao Jin-Biao ◽

Zhang Ming-De ◽

Sun Xiao-Han

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Optical Waveguides ◽

Polynomial Interpolation ◽

The Finite Difference Method

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Finite Difference Method Based on Polynomial Interpolation for Solving Hard Acoustic Scattering Problems of the Helmholtz Equation

Advances in Applied Mathematics ◽

10.12677/aam.2021.108274 ◽

2021 ◽

Vol 10 (08) ◽

pp. 2639-2647

Author(s):

泽玉王

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Difference Method ◽

Polynomial Interpolation ◽

Acoustic Scattering ◽

Scattering Problems ◽

Acoustic Scattering Problems

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Solving the Transmission Eigenvalue Problem of Helmholtz Equation by Finite Difference Method Based on Polynomial Interpolation

Advances in Applied Mathematics ◽

10.12677/aam.2020.912261 ◽

2020 ◽

Vol 09 (12) ◽

pp. 2236-2243

Author(s):

悠然李

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Eigenvalue Problem ◽

Helmholtz Equation ◽

Difference Method ◽

Polynomial Interpolation ◽

Transmission Eigenvalue ◽

Transmission Eigenvalue Problem

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Finite difference method based on polynomial interpolation for solving Helmholtz equation

Journal of Physics Conference Series ◽

10.1088/1742-6596/2012/1/012072 ◽

2021 ◽

Vol 2012 (1) ◽

pp. 012072

Author(s):

Zihan Zhang ◽

Silong Fang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Helmholtz Equation ◽

Difference Method ◽

Polynomial Interpolation

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A Meshless Finite Difference Method Based on Polynomial Interpolation

Journal of Scientific Computing ◽

10.1007/s10915-019-00952-z ◽

2019 ◽

Vol 80 (1) ◽

pp. 667-691 ◽

Author(s):

X. W. Huang ◽

C. S. Wu

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Polynomial Interpolation ◽

Meshless Finite Difference Method

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