Generalized Partial Difference Equation - Articles

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 5,992 Downloads 8,529 Views Citations
This article belongs to the Special Issue on Electromagnetic Field Theory
Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation (Articles)

N. H. Sweilam, M. M. Khader, M. Adel

Applied Mathematics Vol.5 No.19, November 18, 2014

DOI: 10.4236/am.2014.519301 5,311 Downloads 7,247 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Generalized Laguerre Polynomials (Articles)

Nasser H. Sweilam, Mohamed M. Khader, Mohamed Adel

Applied Mathematics Vol.6 No.4, April 10, 2015

DOI: 10.4236/am.2015.64058 4,450 Downloads 6,348 Views Citations
High Order Compact Difference Scheme and Multigrid Method for 2D Elliptic Problems with Variable Coefficients and Interior/Boundary Layers on Nonuniform Grids (Articles)

Bin Lan, Yongbin Ge, Yan Wang, Yong Zhan

Journal of Applied Mathematics and Physics Vol.3 No.5, May 19, 2015

DOI: 10.4236/jamp.2015.35063 3,421 Downloads 4,702 Views Citations
Comparison of Fixed Point Methods and Krylov Subspace Methods Solving Convection-Diffusion Equations (Articles)

Xijian Wang

American Journal of Computational Mathematics Vol.5 No.2, June 9, 2015

DOI: 10.4236/ajcm.2015.52010 3,097 Downloads 4,217 Views Citations
A Cauchy Problem for Some Fractional q-Difference Equations with Nonlocal Conditions (Articles)

Maryam Al-Yami

American Journal of Computational Mathematics Vol.6 No.2, June 29, 2016

DOI: 10.4236/ajcm.2016.62017 2,125 Downloads 3,675 Views Citations
An Effective Numerical Calculation Method for Multi-Time-Scale Mathematical Models in Systems Biology (Articles)

Yohei Motomura, Hiroyuki Hamada, Masahiro Okamoto

Applied Mathematics Vol.7 No.17, November 23, 2016

DOI: 10.4236/am.2016.717178 1,872 Downloads 3,792 Views Citations
Mixed Convection and Heat Transfer Studies in Non-Uniformly Heated Buoyancy Driven Cavity Flow (Articles)

A. D. Abin Rejeesh, Selvarasu Udhayakumar, T. V. S. Sekhar, Rajagopalan Sivakumar

Open Journal of Fluid Dynamics Vol.7 No.2, June 23, 2017

DOI: 10.4236/ojfd.2017.72016 1,663 Downloads 3,855 Views Citations
Numerical Simulation of Groundwater Pollution Problems Based on Convection Diffusion Equation (Articles)

Lingyu Li, Zhe Yin

American Journal of Computational Mathematics Vol.7 No.3, September 6, 2017

DOI: 10.4236/ajcm.2017.73025 1,923 Downloads 5,125 Views Citations
Sign-Changing Solutions for Discrete Dirichlet Boundary Value Problem (Articles)

Yuhua Long, Baoling Zeng

Journal of Applied Mathematics and Physics Vol.5 No.11, November 23, 2017

DOI: 10.4236/jamp.2017.511182 863 Downloads 1,882 Views Citations
This article belongs to the Special Issue on Variational method and Its Application
Fractional Difference Approximations for Time-Fractional Telegraph Equation (Articles)

Ru Liu

Journal of Applied Mathematics and Physics Vol.6 No.1, January 31, 2018

DOI: 10.4236/jamp.2018.61029 1,172 Downloads 2,671 Views Citations
Exact Solution of a Linear Difference Equation in a Finite Number of Steps (Articles)

Albert Iskhakov, Sergey Skovpen

Applied Mathematics Vol.9 No.3, March 29, 2018

DOI: 10.4236/am.2018.93022 2,649 Downloads 4,118 Views Citations
Positivity-Preserving Numerical Methods for Belousov-Zhabotinsky Reaction (Articles)

Yuro Adachi, Novrianti, Okihiro Sawada

Applied Mathematics Vol.11 No.10, October 9, 2020

DOI: 10.4236/am.2020.1110061 903 Downloads 1,971 Views Citations
Numerical Analysis of Upwind Difference Schemes for Two-Dimensional First-Order Hyperbolic Equations with Variable Coefficients (Articles)

Yanmeng Sun, Qing Yang

Engineering Vol.13 No.6, June 30, 2021

DOI: 10.4236/eng.2021.136023 540 Downloads 3,367 Views Citations
Time Dependent Wave Propagation Modeling Using Finite Difference Scheme of 2D Wave Equation Based on Absorbing and Reflecting Boundaries (Articles)

M. Joni Alam, W. Z. Loskor, M. Mohiuddin

Journal of Applied Mathematics and Physics Vol.9 No.9, September 26, 2021

DOI: 10.4236/jamp.2021.99148 574 Downloads 3,532 Views Citations
Efficient BTCS + CTCS Finite Difference Scheme for General Linear Second Order PDE (Articles)

Gueye Serigne Bira, Mbow Cheikh, Diagana Mouhamed Fadel

Journal of Electromagnetic Analysis and Applications Vol.13 No.10, October 20, 2021

DOI: 10.4236/jemaa.2021.1310010 396 Downloads 2,368 Views Citations
Numerical Solution of Second-Orders Fuzzy Linear Differential Equation (Articles)

Junyang An, Xiaobin Guo

Applied Mathematics Vol.12 No.11, November 30, 2021

DOI: 10.4236/am.2021.1211071 447 Downloads 1,611 Views Citations
Numerical Solution of Advection Diffusion Equation Using Semi-Discretization Scheme (Articles)

Khandoker Nasrin Ismet Ara, Md. Masudur Rahaman, Md. Sabbir Alam

Applied Mathematics Vol.12 No.12, December 30, 2021

DOI: 10.4236/am.2021.1212079 753 Downloads 5,205 Views Citations
Solution of a One-Dimension Heat Equation Using Higher-Order Finite Difference Methods and Their Stability (Articles)

M. Emran Ali, Wahida Zaman Loskor, Samia Taher, Farjana Bilkis

Journal of Applied Mathematics and Physics Vol.10 No.3, March 24, 2022

DOI: 10.4236/jamp.2022.103060 416 Downloads 3,143 Views Citations
Space Discretization of Time-Fractional Telegraph Equation with Mamadu-Njoseh Basis Functions (Articles)

Ebimene James Mamadu, Ignatius Nkonyeasua Njoseh, Henrietta Ify Ojarikre

Applied Mathematics Vol.13 No.9, September 29, 2022

DOI: 10.4236/am.2022.139048 292 Downloads 1,184 Views Citations

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