A Direct Numerov Sixth-order Numerical Scheme to Accurately Solve the Unidimensional Poisson Equation with Dirichlet Boundary Conditions

Esmerindo Bernardes

doi:10.1007/s10948-009-0544-z

A Direct Numerov Sixth-order Numerical Scheme to Accurately Solve the Unidimensional Poisson Equation with Dirichlet Boundary Conditions

Journal of Superconductivity and Novel Magnetism ◽

10.1007/s10948-009-0544-z ◽

2009 ◽

Vol 23 (1) ◽

pp. 167-169

Author(s):

Esmerindo Bernardes

Keyword(s):

Boundary Conditions ◽

Poisson Equation ◽

Numerical Scheme ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Sixth Order

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An efficient implementation of fourth-order compact finite difference scheme for Poisson equation with Dirichlet boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.02.022 ◽

2016 ◽

Vol 71 (9) ◽

pp. 1843-1860 ◽

Cited By ~ 11

Author(s):

Hanquan Wang ◽

Yong Zhang ◽

Xiu Ma ◽

Jun Qiu ◽

Yan Liang

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Poisson Equation ◽

Fourth Order ◽

Finite Difference Scheme ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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Discontinuous seismic horizon tracking based on a poisson equation with incremental dirichlet boundary conditions

2011 18th IEEE International Conference on Image Processing ◽

10.1109/icip.2011.6116436 ◽

2011 ◽

Cited By ~ 5

Author(s):

G. Zinck ◽

M. Donias ◽

S. Guillon ◽

O. Lavialle

Keyword(s):

Boundary Conditions ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions

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Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.07.002 ◽

2013 ◽

Vol 37 (11) ◽

pp. 1331-1338 ◽

Cited By ~ 55

Author(s):

M.H. Heydari ◽

M.R. Hooshmandasl ◽

F.M. Maalek Ghaini ◽

F. Fereidouni

Keyword(s):

Boundary Conditions ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Two Dimensional ◽

Legendre Wavelets

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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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Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions

American Journal of Applied Mathematics ◽

10.11648/j.ajam.20150306.19 ◽

2015 ◽

Vol 3 (6) ◽

pp. 297 ◽

Cited By ~ 1

Author(s):

Benyam Mebrate

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Two Dimensional

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Numerical Solution of Poisson Equation with Dirichlet Boundary Conditions

International Journal of Open Problems in Computer Science and Mathematics ◽

10.12816/0006149 ◽

2012 ◽

Vol 5 (4) ◽

pp. 171-195

Author(s):

H. Bennour ◽

M. S. Said

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions

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Sixth-order compact finite difference scheme with discrete sine transform for solving Poisson equations with Dirichlet boundary conditions

Results in Applied Mathematics ◽

10.1016/j.rinam.2021.100148 ◽

2021 ◽

Vol 10 ◽

pp. 100148

Author(s):

Amanuel Hossiso Gatiso ◽

Melisew Tefera Belachew ◽

Getinet Alemayehu Wolle

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Sixth Order ◽

Compact Finite Difference Scheme ◽

Poisson Equations ◽

Sine Transform

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The Numerical Solution of Poisson Equation with Dirichlet Boundary Conditions

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2021.912194 ◽

2021 ◽

Vol 09 (12) ◽

pp. 3007-3018

Author(s):

Peng Guo

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions

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A numerical scheme based on Bernoulli wavelets and collocation method for solving fractional partial differential equations with Dirichlet boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22279 ◽

2018 ◽

Vol 35 (1) ◽

pp. 34-59 ◽

Cited By ~ 16

Author(s):

Parisa Rahimkhani ◽

Yadollah Ordokhani

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Collocation Method ◽

Numerical Scheme ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Fractional Partial Differential Equations ◽

Partial Differential

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On the Derivation of Highest-Order Compact Finite Difference Schemes for the One- and Two-Dimensional Poisson Equation with Dirichlet Boundary Conditions

SIAM Journal on Numerical Analysis ◽

10.1137/120875570 ◽

2013 ◽

Vol 51 (4) ◽

pp. 2470-2490 ◽

Cited By ~ 3

Author(s):

Sean O. Settle ◽

Craig C. Douglas ◽

Imbunm Kim ◽

Dongwoo Sheen

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Difference Schemes ◽

Dirichlet Boundary Conditions ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Compact Finite Difference ◽

The One

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