Legendre Spectral Method - Articles - Scientific Research Publishing

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 2,664 Downloads 4,038 Views Citations
This article belongs to the Special Issue on Fractional Calculus
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 3,944 Downloads 5,389 Views Citations
Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method (Articles)

Yin Yang

Applied Mathematics Vol.4 No.1, January 28, 2013

DOI: 10.4236/am.2013.41020 8,390 Downloads 13,378 Views Citations
New Implementation of Legendre Polynomials for Solving Partial Differential Equations (Articles)

Ali Davari, Abozar Ahmadi

Applied Mathematics Vol.4 No.12, December 3, 2013

DOI: 10.4236/am.2013.412224 5,884 Downloads 9,659 Views Citations
Discontinuous Legendre Wavelet Galerkin Method for One-Dimensional Advection-Diffusion Equation (Articles)

Xiaoyang Zheng, Zhengyuan Wei

Applied Mathematics Vol.6 No.9, August 21, 2015

DOI: 10.4236/am.2015.69141 3,067 Downloads 4,387 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 6,820 Downloads 11,040 Views Citations
A Block Procedure with Linear Multi-Step Methods Using Legendre Polynomials for Solving ODEs (Articles)

Khadijah M. Abualnaja

Applied Mathematics Vol.6 No.4, April 29, 2015

DOI: 10.4236/am.2015.64067 3,399 Downloads 5,159 Views Citations
Gauss-Legendre Iterative Methods and Their Applications on Nonlinear Systems and BVP-ODEs (Articles)

Zhongli Liu, Guoqing Sun

Journal of Applied Mathematics and Physics Vol.4 No.11, November 18, 2016

DOI: 10.4236/jamp.2016.411203 1,978 Downloads 3,582 Views Citations
Application of HAM for Nonlinear Integro-Differential Equations of Order Two (Articles)

Zainidin Eshkuvatov, Davron Khayrullaev, Muzaffar Nurillaev, Shalela Mohd Mahali, Anvar Narzullaev

Journal of Applied Mathematics and Physics Vol.11 No.1, January 17, 2023

DOI: 10.4236/jamp.2023.111005 249 Downloads 994 Views Citations
Finite Difference Preconditioners for Legendre Based Spectral Element Methods on Elliptic Boundary Value Problems (Articles)

Seonhee Kim, Amik St-Cyr, Sang Dong Kim

Applied Mathematics Vol.4 No.5, May 22, 2013

DOI: 10.4236/am.2013.45115 3,617 Downloads 5,812 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 1,334 Downloads 3,248 Views Citations
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 577 Downloads 5,702 Views Citations
Characterization of Near Surface Intrusions in South-West Cameroon Zone Using Gravity Data: Mining and Geothermal Implications (Articles)

Ghislain Nkamgan Ndongmo, Fidèle Koumetio, François Ngapgue, Ernest Léontin Lemoubou

Journal of Geoscience and Environment Protection Vol.11 No.9, September 26, 2023

DOI: 10.4236/gep.2023.119018 513 Downloads 1,157 Views Citations
Time-Spectral Solution of Initial-Value Problems—Subdomain Approach (Articles)

Jan Scheffel, Ahmed A. Mirza

American Journal of Computational Mathematics Vol.2 No.2, June 21, 2012

DOI: 10.4236/ajcm.2012.22010 5,723 Downloads 9,364 Views Citations
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 7,727 Downloads 12,919 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 1,035 Downloads 2,100 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 5,547 Downloads 7,891 Views Citations
This article belongs to the Special Issue on Advances in Mathematical Physics
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 6,606 Downloads 8,345 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 3,951 Downloads 5,318 Views Citations
A Numerical Study of MHD Laminar Flow in a Rotating Curved Pipe with Circular Cross Section (Articles)

Md. Mainul Hoque, Md. Mahmud Alam

Open Journal of Fluid Dynamics Vol.5 No.2, June 2, 2015

DOI: 10.4236/ojfd.2015.52014 4,964 Downloads 6,513 Views Citations

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