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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
5,434
Downloads
8,744
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
472
Downloads
1,976
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
1,160
Downloads
2,559
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
5,503
Downloads
9,872
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
6,187
Downloads
7,674
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
7,112
Downloads
13,163
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
5,529
Downloads
6,703
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
3,048
Downloads
4,310
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
80
Downloads
402
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
6,086
Downloads
7,567
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
4,294
Downloads
7,868
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
3,868
Downloads
5,276
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
5,532
Downloads
10,972
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
59
Downloads
299
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
5,285
Downloads
10,727
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
7,936
Downloads
12,990
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
379
Downloads
1,166
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
972
Downloads
2,389
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
2,169
Downloads
3,718
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
14,563
Downloads
32,551
Views
Citations
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