Legendre Polynomials; Partial Differential Equations; Collocation Method - Articles

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 5,891 Downloads 9,687 Views Citations
An Extended Numerical Method by Stancu Polynomials for Solution of Integro-Differential Equations Arising in Oscillating Magnetic Fields (Articles)

Neşe İşler Acar

Advances in Pure Mathematics Vol.14 No.10, October 31, 2024

DOI: 10.4236/apm.2024.1410043 117 Downloads 506 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 688 Downloads 3,297 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 1,474 Downloads 3,381 Views Citations
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 5,967 Downloads 10,521 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 6,571 Downloads 8,681 Views Citations
This article belongs to the Special Issue on Fractional Calculus and its Application
A Comparative Study of Variational Iteration Method and He-Laplace Method (Articles)

Hradyesh Kumar Mishra

Applied Mathematics Vol.3 No.10, October 12, 2012

DOI: 10.4236/am.2012.310174 7,634 Downloads 14,022 Views Citations
A Comparative Study of Adomain Decompostion Method and He-Laplace Method (Articles)

Badradeen A. A. Adam

Applied Mathematics Vol.5 No.21, December 1, 2014

DOI: 10.4236/am.2014.521312 5,837 Downloads 7,369 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 3,405 Downloads 5,179 Views Citations
Quintic B-Spline Method for Solving Sharma Tasso Oliver Equation (Articles)

Talaat S. Eldanaf, Mohamed Elsayed, Mahmoud A. Eissa, Faisal Ezz-Eldeen Abd Alaal

Journal of Applied Mathematics and Physics Vol.10 No.12, December 30, 2022

DOI: 10.4236/jamp.2022.1012258 309 Downloads 1,639 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 93 Downloads 462 Views Citations
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 6,608 Downloads 8,381 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 4,788 Downloads 8,638 Views Citations
The Solutions for the Eco-Epidemic Model with Homotopy Analysis Method (Articles)

Xiurong Chen

Engineering Vol.5 No.10B, December 17, 2013

DOI: 10.4236/eng.2013.510B091 4,272 Downloads 6,061 Views Citations
Collocation Method for Nonlinear Volterra-Fredholm Integral Equations (Articles)

Jafar Ahmadi Shali, Parviz Darania, Ali Asgar Jodayree Akbarfam

Open Journal of Applied Sciences Vol.2 No.2, June 27, 2012

DOI: 10.4236/ojapps.2012.22016 6,151 Downloads 11,848 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 251 Downloads 1,008 Views Citations
Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations (Articles)

Artion Kashuri, Akli Fundo, Matilda Kreku

Advances in Pure Mathematics Vol.3 No.3, May 8, 2013

DOI: 10.4236/apm.2013.33045 5,701 Downloads 11,462 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 8,396 Downloads 13,409 Views Citations
Laplace Decomposition Method for the System of Non Linear PDEs (Articles)

S. S. Handibag

Open Access Library Journal Vol.6 No.12, December 26, 2019

DOI: 10.4236/oalib.1105954 713 Downloads 2,024 Views Citations
Exact Solutions of Two Nonlinear Partial Differential Equations by the First Integral Method (Articles)

Qingmei Zhang, Mei Xiong, Longwei Chen

Advances in Pure Mathematics Vol.10 No.1, January 16, 2020

DOI: 10.4236/apm.2020.101002 1,395 Downloads 3,429 Views Citations

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