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 5,398 Downloads 8,651 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 454 Downloads 1,757 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 1,110 Downloads 2,402 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 5,414 Downloads 9,683 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 6,142 Downloads 7,533 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 7,028 Downloads 12,921 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 5,467 Downloads 6,568 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 3,011 Downloads 4,166 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 61 Downloads 279 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 6,024 Downloads 7,385 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 4,227 Downloads 7,718 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 3,831 Downloads 5,158 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 5,461 Downloads 10,796 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 38 Downloads 189 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 5,198 Downloads 10,494 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 7,841 Downloads 12,770 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 351 Downloads 1,056 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 926 Downloads 2,195 Views Citations
The Lanczos-Chebyshev Pseudospectral Method for Solution of Differential Equations (Articles)

Peter Y. P. Chen

Applied Mathematics Vol.7 No.9，May 27, 2016

DOI: 10.4236/am.2016.79083 2,132 Downloads 3,570 Views Citations
This article belongs to the Special Issue on Complex Analysis
An Introduction to Numerical Methods for the Solutions of Partial Differential Equations (Articles)

Manoj Kumar, Garima Mishra

Applied Mathematics Vol.2 No.11，November 30, 2011

DOI: 10.4236/am.2011.211186 14,411 Downloads 32,051 Views Citations

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