Legendre Spectral Collocation Method - Articles - Scientific Research Publishing

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 3,974 Downloads 5,460 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 5,963 Downloads 9,800 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 4,139 Views Citations
This article belongs to the Special Issue on Fractional Calculus
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 1,381 Downloads 3,371 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 5,616 Downloads 8,012 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 6,624 Downloads 8,446 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 3,448 Downloads 5,248 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 8,443 Downloads 13,513 Views Citations
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 4,180 Downloads 7,296 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 1,171 Downloads 2,542 Views Citations
The Effects of an Inclined Magnetic Field, Brownian Motion, and Thermophoresis on the Flow of Electrically Conducting and Chemically Reacting Casson Nanofluids Using Soret-Dufour Mechanisms (Articles)

Toyin Wasiu Akaje, Bakai Ishola Olajuwon

Advances in Nanoparticles Vol.11 No.2, May 31, 2022

DOI: 10.4236/anp.2022.112005 349 Downloads 1,602 Views Citations
The Asymptotic Eigenvalues of First-Order Spectral Differentiation Matrices (Articles)

Jue Wang, Fabian Waleffe

Journal of Applied Mathematics and Physics Vol.2 No.5, April 25, 2014

DOI: 10.4236/jamp.2014.25022 4,682 Downloads 7,015 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 3,119 Downloads 4,491 Views Citations
Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems (Articles)

Mohamed El-Gamel

Applied Mathematics Vol.3 No.11, November 20, 2012

DOI: 10.4236/am.2012.311225 7,655 Downloads 12,550 Views Citations
Symmetric Hybrid Linear Multistep Method for General Third Order Differential Equations (Articles)

Friday Oghenerukevwe Obarhua, Sunday Jacob Kayode

Open Access Library Journal Vol.3 No.4, April 18, 2016

DOI: 10.4236/oalib.1102583 1,194 Downloads 3,406 Views Citations
Collocation Technique for Numerical Solution of Integral Equations with Certain Orthogonal Basis Function in Interval [0, 1] (Articles)

O. L. Babasola, I. Irakoze

Open Access Library Journal Vol.4 No.12, December 15, 2017

DOI: 10.4236/oalib.1104050 699 Downloads 3,356 Views Citations
Fully Discrete Orthogonal Collocation Method of Sobolev Equations (Articles)

Ning Ma, Wenliang Bian, Xiaofei Lu

Journal of Applied Mathematics and Physics Vol.5 No.12, December 27, 2017

DOI: 10.4236/jamp.2017.512192 1,006 Downloads 2,056 Views Citations
Highly Efficient Method for Solving Parabolic PDE with Nonlocal Boundary Conditions (Articles)

Mohamed El-Gamel, Galal I. El-Baghdady, Mahmoud Abd El-Hady

Applied Mathematics Vol.13 No.2, February 10, 2022

DOI: 10.4236/am.2022.132009 413 Downloads 2,017 Views Citations
Haar Wavelet Quasilinearization Approach for Solving Nonlinear Boundary Value Problems (Articles)

Harpreet Kaur, R.C. Mittal, Vinod Mishra

American Journal of Computational Mathematics Vol.1 No.3, September 19, 2011

DOI: 10.4236/ajcm.2011.13020 7,126 Downloads 15,503 Views Citations
Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function (Articles)

Ali Salimi Shamloo, Sanam Shahkar, Alieh Madadi

American Journal of Computational Mathematics Vol.2 No.2, June 22, 2012

DOI: 10.4236/ajcm.2012.22019 5,058 Downloads 10,542 Views Citations

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