Chebyshev Spectral Method - Articles - Scientific Research Publishing

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 615 Downloads 5,808 Views Citations
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 5,617 Downloads 8,014 Views Citations
This article belongs to the Special Issue on Advances in Mathematical Physics
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 3,981 Downloads 5,399 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 813 Downloads 1,798 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 7,829 Downloads 13,102 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 1,070 Downloads 2,158 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 342 Downloads 1,759 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 5,311 Downloads 7,244 Views Citations
This article belongs to the Special Issue on Numerical Analysis
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 3,165 Downloads 4,630 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 2,072 Downloads 3,989 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 1,653 Downloads 4,332 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 796 Downloads 1,587 Views Citations
On Discrete Adomian Decomposition Method with Chebyshev Abscissa for Nonlinear Integral Equations of Hammerstein Type (Articles)

H. O. Bakodah, Mohamed Abdalla Darwish

Advances in Pure Mathematics Vol.2 No.5, September 25, 2012

DOI: 10.4236/apm.2012.25042 5,897 Downloads 10,825 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 2,480 Downloads 4,574 Views Citations
This article belongs to the Special Issue on Complex Analysis
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 617 Downloads 2,580 Views Citations
Application of the Economization of Power Series to Solving the Schrödinger Equation for the Gaussian Potential via the Asymptotic Iteration Method (Articles)

Hippolyte Nyengeri, Benoit Manariyo, Rénovat Nizigiyimana, Salomon Mugisha

Open Access Library Journal Vol.7 No.7, July 23, 2020

DOI: 10.4236/oalib.1106505 1,301 Downloads 2,388 Views Citations
Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid (Articles)

Mustafa GÜLSU, Yalçn ÖZTÜRK

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

DOI: 10.4236/ajcm.2011.14024 6,446 Downloads 12,061 Views Citations
An Exact Analysis of the Fundamental and First Higher Order Mode in Graded Index Fibers with Direct Power Series Method (Articles)

Anirban Roy Chowdhury, Ivy Dutta, Dharmadas Kumbhakar

Optics and Photonics Journal Vol.3 No.2, June 7, 2013

DOI: 10.4236/opj.2013.32028 5,811 Downloads 8,638 Views Citations
The impact of frequency aliasing on spectral method of measuring T wave alternans (Articles)

Di-Hu Chen, Sheng Yang

Journal of Biomedical Science and Engineering Vol.2 No.2, April 2, 2009

DOI: 10.4236/jbise.2009.22019 6,951 Downloads 11,222 Views Citations
Approximate Solution of Non-Linear Fractional Klein-Gordon Equation Using Spectral Collocation Method (Articles)

Rubayyi T. Alqahtani

Applied Mathematics Vol.6 No.13, November 30, 2015

DOI: 10.4236/am.2015.613190 2,704 Downloads 4,141 Views Citations
This article belongs to the Special Issue on Fractional Calculus

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