Collocation Methods with Legendre Polynomials - Articles

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 3,247 Downloads 4,694 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 5,688 Downloads 9,123 Views Citations
A New Technique for Solving Fractional Order Systems: Hermite Collocation Method (Articles)

Nilay Akgonullu Pirim, Fatma Ayaz

Applied Mathematics Vol.7 No.18，December 12, 2016

DOI: 10.4236/am.2016.718182 6,394 Downloads 8,112 Views Citations
This article belongs to the Special Issue on Fractional Calculus and its Application
Chebyshev Polynomials with Applications to Two-Dimensional Operators (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.9 No.12，December 24, 2019

DOI: 10.4236/apm.2019.912050 712 Downloads 2,688 Views Citations
Legendre-Weighted Residual Methods for System of Fractional Order Differential Equations (Articles)

Umme Ruman, Md. Shafiqul Islam

Journal of Applied Mathematics and Physics Vol.12 No.9，September 27, 2024

DOI: 10.4236/jamp.2024.129190 45 Downloads 209 Views Citations
Hermite Matrix Polynomial Collocation Method for Linear Complex Differential Equations and Some Comparisons (Articles)

Mina Bagherpoorfard, Fahime Akhavan Ghassabzade

Journal of Applied Mathematics and Physics Vol.1 No.5，October 23, 2013

DOI: 10.4236/jamp.2013.15009 4,576 Downloads 8,097 Views Citations
Modified Legendre Collocation Block Method for Solving Initial Value Problems of First Order Ordinary Differential Equations (Articles)

Toyin Gideon Okedayo, Ayodele Olakiitan Owolanke, Olaseni Taiwo Amumeji, Muyiwa Philip Adesuyi

Open Access Library Journal Vol.5 No.7，July 6, 2018

DOI: 10.4236/oalib.1104565 912 Downloads 2,305 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 582 Downloads 2,753 Views Citations
Characterization of Optical Aberrations Induced by Thermal Gradients and Vibrations via Zernike and Legendre Polynomials (Articles)

Igor Di Varano

Optics and Photonics Journal Vol.6 No.6，June 28, 2016

DOI: 10.4236/opj.2016.66014 2,658 Downloads 4,499 Views Citations
The Gravitational Attraction between Hemispherical Masses (Articles)

Jonathan D. Weiss

Applied Mathematics Vol.8 No.6，June 21, 2017

DOI: 10.4236/am.2017.86064 1,833 Downloads 4,184 Views Citations
Numerical Solution for Initial and Boundary Value Problems of Fractional Order (Articles)

A. M. Kawala

Advances in Pure Mathematics Vol.8 No.12，December 19, 2018

DOI: 10.4236/apm.2018.812051 1,314 Downloads 2,729 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 4,390 Downloads 6,323 Views Citations
Cubic Spline Approximation for Weakly Singular Integral Models (Articles)

Franca Caliò, Elena Marchetti

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

DOI: 10.4236/am.2013.411211 3,657 Downloads 5,558 Views Citations
A Proof of the Non-Singularity of the D Matrix Used in Deriving the Two—Step Butcher’s Hybrid Scheme for the Solution of Initial Value Problems (Articles)

R. O. Akinola, K. J. Ajibade

Journal of Applied Mathematics and Physics Vol.9 No.12，December 29, 2021

DOI: 10.4236/jamp.2021.912208 213 Downloads 833 Views Citations
Duality between Bessel Functions and Chebyshev Polynomials in Expansions of Functions (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.13 No.8，August 30, 2023

DOI: 10.4236/apm.2023.138034 221 Downloads 1,098 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 3,826 Downloads 4,975 Views Citations
Operator Methods and SU(1,1) Symmetry in the Theory of Jacobi and of Ultraspherical Polynomials (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.7 No.2，February 16, 2017

DOI: 10.4236/apm.2017.72012 2,939 Downloads 4,919 Views Citations
This article belongs to the Special Issue on Group Theory and Its Applications
Legendre Approximation for Solving a Class of Nonlinear Optimal Control Problems (Articles)

Emran Tohidi, Omid Reza Navid Samadi, Mohammad Hadi Farahi

Journal of Mathematical Finance Vol.1 No.1，June 1, 2011

DOI: 10.4236/jmf.2011.11002 5,839 Downloads 13,298 Views Citations
The Effects of Rotation and Salt Concentration On Thermal Convection In a Linear Magneto-Fluid Layer Overlying a Porous Layer (Articles)

Maram S. Al-Qurashi, Abdul-Fattah K. Bukhari

Journal of Electromagnetic Analysis and Applications Vol.4 No.9，September 20, 2012

DOI: 10.4236/jemaa.2012.49052 3,228 Downloads 5,000 Views Citations
Characterisation of Real-World Bus Acceleration and Deceleration Signals (Articles)

Marietta Kirchner, Patric Schubert, Christian T. Haas

Journal of Signal and Information Processing Vol.5 No.1，February 10, 2014

DOI: 10.4236/jsip.2014.51002 5,878 Downloads 8,460 Views Citations

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