Poisson’s Equation; Hockney’s Method; Thomas Algorithm - Articles

Fast Finite Difference Solutions of the Three Dimensional Poisson’s Equation in Cylindrical Coordinates (Articles)

Alemayehu Shiferaw, R. C. Mittal

American Journal of Computational Mathematics Vol.3 No.4, December 20, 2013

DOI: 10.4236/ajcm.2013.34045 15,372 Downloads 21,746 Views Citations
An Efficient Direct Method to Solve the Three Dimensional Poisson’s Equation (Articles)

Alemayehu Shiferaw, Ramesh Chand Mittal

American Journal of Computational Mathematics Vol.1 No.4, December 9, 2011

DOI: 10.4236/ajcm.2011.14035 10,005 Downloads 19,524 Views Citations
High Accurate Fourth-Order Finite Difference Solutions of the Three Dimensional Poisson’s Equation in Cylindrical Coordinate (Articles)

Alemayehu Shiferaw, Ramesh Chand Mittal

American Journal of Computational Mathematics Vol.4 No.2, March 21, 2014

DOI: 10.4236/ajcm.2014.42007 5,688 Downloads 8,371 Views Citations
The Exact Formulation of the Inverse of the Tridiagonal Matrix for Solving the 1D Poisson Equation with the Finite Difference Method (Articles)

Serigne Bira Gueye

Journal of Electromagnetic Analysis and Applications Vol.6 No.10, September 25, 2014

DOI: 10.4236/jemaa.2014.610030 5,991 Downloads 8,525 Views Citations
This article belongs to the Special Issue on Electromagnetic Field Theory
Solution of 1D Poisson Equation with Neumann-Dirichlet and Dirichlet-Neumann Boundary Conditions, Using the Finite Difference Method (Articles)

Serigne Bira Gueye, Kharouna Talla, Cheikh Mbow

Journal of Electromagnetic Analysis and Applications Vol.6 No.10, September 25, 2014

DOI: 10.4236/jemaa.2014.610031 15,192 Downloads 20,239 Views Citations
This article belongs to the Special Issue on Electromagnetic Field Theory
A Poisson Solver Based on Iterations on a Sylvester System (Articles)

Michael B. Franklin, Ali Nadim

Applied Mathematics Vol.9 No.6, June 29, 2018

DOI: 10.4236/am.2018.96052 1,283 Downloads 3,051 Views Citations
Dynamics of the Spherical Charged Clots (Articles)

Alexander Chikhachev

Journal of Modern Physics Vol.7 No.6, March 31, 2016

DOI: 10.4236/jmp.2016.76057 2,300 Downloads 3,125 Views Citations
Examination of Minimum Time Step, from Modified Heisenberg Uncertainty Principle, Inflaton Physics and Black Hole Physics (Articles)

Andrew Walcott Beckwith

Journal of High Energy Physics, Gravitation and Cosmology Vol.3 No.1, November 25, 2016

DOI: 10.4236/jhepgc.2017.31007 1,408 Downloads 2,642 Views Citations
A Generalized Symbolic Thomas Algorithm (Articles)

Moawwad El-Mikkawy

Applied Mathematics Vol.3 No.4, April 27, 2012

DOI: 10.4236/am.2012.34052 6,455 Downloads 12,084 Views Citations
A Generalized Symbolic Thomas Algorithm for Solving Doubly Bordered k-Tridiagonal Linear Systems (Articles)

Nermeen Shehab, Moawwad El-Mikkawy, Mohammed El-Shehawy

Journal of Applied Mathematics and Physics Vol.3 No.9, September 29, 2015

DOI: 10.4236/jamp.2015.39147 3,052 Downloads 4,287 Views Citations
Analytical Solution for the Time-Dependent Emden-Fowler Type of Equations by Homotopy Analysis Method with Genetic Algorithm (Articles)

Waleed Al-Hayani, Laheeb Alzubaidy, Ahmed Entesar

Applied Mathematics Vol.8 No.5, May 25, 2017

DOI: 10.4236/am.2017.85055 1,378 Downloads 2,761 Views Citations
Simulations of the Electron Spectrum of Quantum Wires in n-Si of Arbitrarily Doping Profile by Thomas-Fermi Method (Articles)

Volodymyr Grimalsky, Svetlana Koshevaya, Jesus Escobedo-Alatorre, Igor Moroz

Journal of Electromagnetic Analysis and Applications Vol.10 No.8, August 31, 2018

DOI: 10.4236/jemaa.2018.108011 892 Downloads 1,832 Views Citations
Auxetics in Biomedical Applications: A Review (Articles)

Sean Rose, Dexter Siu, JD Zhu, Reem Roufail

Journal of Minerals and Materials Characterization and Engineering Vol.11 No.2, March 27, 2023

DOI: 10.4236/jmmce.2023.112003 519 Downloads 2,865 Views Citations
A Fast Algorithm to Solve the Bitsadze Equation in the Unit Disk (Articles)

Daoud Mashat, Manal Alotibi

Applied Mathematics Vol.2 No.1, January 30, 2011

DOI: 10.4236/am.2011.21013 4,831 Downloads 8,607 Views Citations
The Numerical Solution of the MRLW Equation Using the Multigrid Method (Articles)

Yasser Mohamed Abo Essa, Ibrahim Abouefarag, El-Desouky Rahmo

Applied Mathematics Vol.5 No.21, December 1, 2014

DOI: 10.4236/am.2014.521310 4,274 Downloads 5,852 Views Citations
Multigrid Method for the Numerical Solution of the Modified Equal Width Wave Equation (Articles)

Yasser M. Abo Essa

Applied Mathematics Vol.7 No.10, June 24, 2016

DOI: 10.4236/am.2016.710102 2,348 Downloads 3,967 Views Citations
A New Method for Solving Algebraic Equations (Articles)

Zengyong Liang

Advances in Pure Mathematics Vol.15 No.8, August 25, 2025

DOI: 10.4236/apm.2025.158028 100 Downloads 575 Views Citations
Method of Successive Approximations for a Fluid Structure Interaction Problem (Articles)

Aliou Gueye Sow, Ibrahima Mbaye

Applied Mathematics Vol.5 No.15, August 13, 2014

DOI: 10.4236/am.2014.515223 3,687 Downloads 4,936 Views Citations
Hybrid Location Algorithm Based on Cuckoo and Statistical Manifold (Articles)

Xiaofeng Qin, Bin Xia, Liye Zhang, Xianzhi Zheng

Journal of Computer and Communications Vol.9 No.3, March 30, 2021

DOI: 10.4236/jcc.2021.93008 448 Downloads 1,195 Views Citations
A Comparative Study of Two Spatial Discretization Schemes for Advection Equation (Articles)

Huda O. Bakodah

International Journal of Modern Nonlinear Theory and Application Vol.5 No.1, March 8, 2016

DOI: 10.4236/ijmnta.2016.51006 3,140 Downloads 5,028 Views Citations

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