Thermoelectric Cooling; Ballistic Regime; Spectral Chebyshev Collocation Method - Articles

Spectral and Finite Difference Solutions of the Hyperbolic Heat Transport Equation for Thermoelectric Thin Films (Articles)

Aldo Figueroa, Federico Vázquez

Applied Mathematics Vol.4 No.10C，October 8, 2013

DOI: 10.4236/am.2013.410A3004 5,400 Downloads 7,426 Views Citations
This article belongs to the Special Issue on Advances in Mathematical Physics
Multi-Derivative Multistep Method for Initial Value Problems Using Boundary Value Technique (Articles)

Emmanuel A. Areo, Oluwatoyin A. Edwin

Open Access Library Journal Vol.7 No.3，March 19, 2020

DOI: 10.4236/oalib.1106063 518 Downloads 1,976 Views Citations
The Lanczos-Chebyshev Pseudospectral Method for Solution of Differential Equations (Articles)

Peter Y. P. Chen

Applied Mathematics Vol.7 No.9，May 27, 2016

DOI: 10.4236/am.2016.79083 2,288 Downloads 3,938 Views Citations
This article belongs to the Special Issue on Complex Analysis
The Numerical Solution of Poisson Equation with Dirichlet Boundary Conditions (Articles)

Peng Guo

Journal of Applied Mathematics and Physics Vol.9 No.12，December 9, 2021

DOI: 10.4236/jamp.2021.912194 442 Downloads 4,880 Views Citations
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation (Articles)

Hasib Uddin Molla, Mushfika Hossain Nova

American Journal of Computational Mathematics Vol.8 No.2，June 13, 2018

DOI: 10.4236/ajcm.2018.82010 1,187 Downloads 2,754 Views Citations
Subdomain Chebyshev Spectral Method for 2D and 3D Numerical Differentiations in a Curved Coordinate System (Articles)

Bing Zhou, Graham Heinson, Aixa Rivera-Rios

Journal of Applied Mathematics and Physics Vol.3 No.3，March 30, 2015

DOI: 10.4236/jamp.2015.33047 3,818 Downloads 4,913 Views Citations
An Integral Collocation Approach Based on Legendre Polynomials for Solving Riccati, Logistic and Delay Differential Equations (Articles)

M. M. Khader, A. M. S. Mahdy, M. M. Shehata

Applied Mathematics Vol.5 No.15，August 19, 2014

DOI: 10.4236/am.2014.515228 6,387 Downloads 7,707 Views Citations
Two-Level Block Decompositions for Solving Helmholtz Equation via Chebyshev Pseudo Spectral Method (Articles)

Hsin-Chu Chen

Journal of Modern Physics Vol.9 No.9，August 1, 2018

DOI: 10.4236/jmp.2018.99107 650 Downloads 1,344 Views Citations
This article belongs to the Special Issue on Computational Physics
A Spectral Method in Time for Initial-Value Problems (Articles)

Jan Scheffel

American Journal of Computational Mathematics Vol.2 No.3，September 28, 2012

DOI: 10.4236/ajcm.2012.23023 7,531 Downloads 12,281 Views Citations
Optimizing Time-Spectral Solution of Initial-Value Problems (Articles)

J. Scheffel, K. Lindvall

American Journal of Computational Mathematics Vol.8 No.1，March 9, 2018

DOI: 10.4236/ajcm.2018.81002 867 Downloads 1,625 Views Citations
A Spectral Method for Convection-Diffusion Equations (Articles)

Peng Guo, Qin Wang, Zhengang Zhao

Applied Mathematics Vol.13 No.12，December 30, 2022

DOI: 10.4236/am.2022.1312061 214 Downloads 1,153 Views Citations
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 5,101 Downloads 6,634 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Pseudo-Spectral Method for Space Fractional Diffusion Equation (Articles)

Yiting Huang, Minling Zheng

Applied Mathematics Vol.4 No.11，November 5, 2013

DOI: 10.4236/am.2013.411202 3,933 Downloads 6,709 Views Citations
Approximate Technique for Solving Class of Fractional Variational Problems (Articles)

Emad M. Solouma, Mohamed M. Khader

Applied Mathematics Vol.6 No.5，May 19, 2015

DOI: 10.4236/am.2015.65078 3,814 Downloads 4,954 Views Citations
Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials (Articles)

Mushfika Hossain Nova, Hasib Uddin Molla, Sajeda Banu

American Journal of Computational Mathematics Vol.7 No.4，December 15, 2017

DOI: 10.4236/ajcm.2017.74034 1,009 Downloads 2,056 Views Citations
A Robust and Effective Method for Solving Two-Point BVP in Modelling Viscoelastic Flows (Articles)

Mohamed El-Gamel, Ola Mohamed, Neveen El-Shamy

Applied Mathematics Vol.11 No.1，January 7, 2020

DOI: 10.4236/am.2020.111003 653 Downloads 1,496 Views Citations
Numerical Study for Simulation the MHD Flow and Heat-Transfer Due to a Stretching Sheet on Variable Thickness and Thermal Conductivity with Thermal Radiation (Articles)

Mohamed M. Khader, Mohammed M. Babatin, Ali Eid, Ahmed M. Megahed

Applied Mathematics Vol.6 No.12，November 25, 2015

DOI: 10.4236/am.2015.612180 2,929 Downloads 4,013 Views Citations
Numerical Solution of Klein/Sine-Gordon Equations by Spectral Method Coupled with Chebyshev Wavelets (Articles)

Javid Iqbal, Rustam Abass

Applied Mathematics Vol.7 No.17，November 15, 2016

DOI: 10.4236/am.2016.717167 1,909 Downloads 3,416 Views Citations
Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs (Articles)

Amr M. S. Mahdy, N. A. H. Mukhtar

American Journal of Computational Mathematics Vol.7 No.4，October 26, 2017

DOI: 10.4236/ajcm.2017.74028 1,477 Downloads 3,696 Views Citations
Chebyshev Spectral Element Analysis for Pore-Pressure of ERDs during Construction Period (Articles)

Chujia Zhou, Mingyuan Chang, Nansheng Li

World Journal of Engineering and Technology Vol.6 No.2，May 25, 2018

DOI: 10.4236/wjet.2018.62024 652 Downloads 1,155 Views Citations

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