Legendre Operational Matrix of Differentiation; Hyperbolic Partial Differential Equations; Legendre Polynomial Solutions; Double Legendre Series - Articles

Legendre Approximation for Solving Linear HPDEs and Comparison with Taylor and Bernoulli Matrix Methods (Articles)

Emran Tohidi

Applied Mathematics Vol.3 No.5，May 16, 2012

DOI: 10.4236/am.2012.35063 5,786 Downloads 9,948 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 1,304 Downloads 2,694 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 5,656 Downloads 9,070 Views Citations
On the Telegrapher’s Equation with Three Space Variables in Non-Rectangular Coordinates (Articles)

Tristan Guillaume

Journal of Applied Mathematics and Physics Vol.8 No.5，May 20, 2020

DOI: 10.4236/jamp.2020.85070 444 Downloads 1,233 Views Citations
Numerical Solution of Nonlinear Integro-Differential Equations with Initial Conditions by Bernstein Operational Matrix of Derivative (Articles)

Behrooz Basirat, Mohammad Amin Shahdadi

Int'l J. of Modern Nonlinear Theory and Application Vol.2 No.2，June 20, 2013

DOI: 10.4236/ijmnta.2013.22018 6,074 Downloads 15,077 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 148 Downloads 641 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 8,191 Downloads 12,823 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 42 Downloads 180 Views Citations
Legendre Polynomial Kernel: Application in SVM (Articles)

Habib Rebei, Nouf S. H. Alharbi

Journal of Applied Mathematics and Physics Vol.10 No.5，May 30, 2022

DOI: 10.4236/jamp.2022.105121 244 Downloads 1,161 Views Citations
Mode Analysis in a Spherical Resonator (Articles)

Tongxing Li, Yongfeng Zhang

Open Access Library Journal Vol.10 No.1，January 19, 2023

DOI: 10.4236/oalib.1109690 78 Downloads 676 Views Citations
Legendre Wavelet Neural Networks for Power Amplifier Linearization (Articles)

Xiaoyang Zheng, Zhengyuan Wei, Xiaozeng Xu

Applied Mathematics Vol.5 No.20，November 20, 2014

DOI: 10.4236/am.2014.520302 3,145 Downloads 4,356 Views Citations
This article belongs to the Special Issue on Nonlinear Systems
Legendre Polynomial and Nonlinear Oscillating Point-Like Charged Particle (Articles)

Haiduke Sarafian

Journal of Electromagnetic Analysis and Applications Vol.9 No.11，November 16, 2017

DOI: 10.4236/jemaa.2017.911013 924 Downloads 1,768 Views Citations
Generalized Central Factorial Numbers with Odd Arguments (Articles)

Youmna H. Zaid, F. A. Shiha, B. S. El-Desouky

Open Journal of Modelling and Simulation Vol.8 No.3，June 17, 2020

DOI: 10.4236/ojmsi.2020.83005 434 Downloads 1,179 Views Citations
Numerical Solution of Two Dimensional Fredholm Integral Equations of the Second Kind by the Barycentric Lagrange Function* (Articles)

Hongyan Liu, Jin Huang, Yubin Pan

Journal of Applied Mathematics and Physics Vol.5 No.2，February 15, 2017

DOI: 10.4236/jamp.2017.52023 1,427 Downloads 2,808 Views Citations
Generalized Legendre-Stirling Numbers (Articles)

K. C. Garrett, Kendra Killpatrick

Open Journal of Discrete Mathematics Vol.4 No.4，October 17, 2014

DOI: 10.4236/ojdm.2014.44014 3,696 Downloads 4,776 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 2,541 Downloads 3,623 Views Citations
This article belongs to the Special Issue on Fractional Calculus
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 905 Downloads 2,287 Views Citations
The Valuation of Cryptocurrencies in Single-Asset and Multiple-Asset Models (Articles)

Rebecca Abraham, Zhi Tao

Theoretical Economics Letters Vol.9 No.4，April 29, 2019

DOI: 10.4236/tel.2019.94071 852 Downloads 2,150 Views Citations
Application of Hyperbola Function Method to the Family of Third Order Korteweg-de Vries Equations (Articles)

Luwai Wazzan

Applied Mathematics Vol.6 No.8，July 16, 2015

DOI: 10.4236/am.2015.68117 3,310 Downloads 4,417 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 2,936 Downloads 3,950 Views Citations

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