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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
3,735
Downloads
4,822
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
5,538
Downloads
9,009
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
2,479
Downloads
3,512
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation
(Articles)
Hasib Uddin Molla
,
Mushfika Hossain Nova
American Journal of Computational Mathematics
Vol.8 No.2
,June 13, 2018
DOI:
10.4236/ajcm.2018.82010
1,085
Downloads
2,598
Views
Citations
Spectral and Finite Difference Solutions of the Hyperbolic Heat Transport Equation for Thermoelectric Thin Films
(Articles)
Aldo Figueroa
,
Federico Vázquez
Applied Mathematics
Vol.4 No.10C
,October 8, 2013
DOI:
10.4236/am.2013.410A3004
5,320
Downloads
7,297
Views
Citations
This article belongs to the Special Issue on
Advances in Mathematical Physics
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
6,205
Downloads
7,880
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
3,102
Downloads
4,513
Views
Citations
Pseudo-Spectral Method for Space Fractional Diffusion Equation
(Articles)
Yiting Huang
,
Minling Zheng
Applied Mathematics
Vol.4 No.11
,November 5, 2013
DOI:
10.4236/am.2013.411202
3,808
Downloads
6,643
Views
Citations
Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials
(Articles)
Mushfika Hossain Nova
,
Hasib Uddin Molla
,
Sajeda Banu
American Journal of Computational Mathematics
Vol.7 No.4
,December 15, 2017
DOI:
10.4236/ajcm.2017.74034
968
Downloads
1,935
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
8,066
Downloads
13,315
Views
Citations
The Effects of an Inclined Magnetic Field, Brownian Motion, and Thermophoresis on the Flow of Electrically Conducting and Chemically Reacting Casson Nanofluids Using Soret-Dufour Mechanisms
(Articles)
Toyin Wasiu Akaje
,
Bakai Ishola Olajuwon
Advances in Nanoparticles
Vol.11 No.2
,May 31, 2022
DOI:
10.4236/anp.2022.112005
155
Downloads
926
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
4,293
Downloads
6,183
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
2,869
Downloads
3,826
Views
Citations
Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems
(Articles)
Mohamed El-Gamel
Applied Mathematics
Vol.3 No.11
,November 20, 2012
DOI:
10.4236/am.2012.311225
6,908
Downloads
11,689
Views
Citations
Symmetric Hybrid Linear Multistep Method for General Third Order Differential Equations
(Articles)
Friday Oghenerukevwe Obarhua
,
Sunday Jacob Kayode
Open Access Library Journal
Vol.3 No.4
,April 18, 2016
DOI:
10.4236/oalib.1102583
1,059
Downloads
2,695
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
510
Downloads
2,347
Views
Citations
Fully Discrete Orthogonal Collocation Method of Sobolev Equations
(Articles)
Ning Ma
,
Wenliang Bian
,
Xiaofei Lu
Journal of Applied Mathematics and Physics
Vol.5 No.12
,December 27, 2017
DOI:
10.4236/jamp.2017.512192
784
Downloads
1,515
Views
Citations
Highly Efficient Method for Solving Parabolic PDE with Nonlocal Boundary Conditions
(Articles)
Mohamed El-Gamel
,
Galal I. El-Baghdady
,
Mahmoud Abd El-Hady
Applied Mathematics
Vol.13 No.2
,February 10, 2022
DOI:
10.4236/am.2022.132009
198
Downloads
1,205
Views
Citations
Haar Wavelet Quasilinearization Approach for Solving Nonlinear Boundary Value Problems
(Articles)
Harpreet Kaur
,
R.C. Mittal
,
Vinod Mishra
American Journal of Computational Mathematics
Vol.1 No.3
,September 19, 2011
DOI:
10.4236/ajcm.2011.13020
6,635
Downloads
14,782
Views
Citations
Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function
(Articles)
Ali Salimi Shamloo
,
Sanam Shahkar
,
Alieh Madadi
American Journal of Computational Mathematics
Vol.2 No.2
,June 22, 2012
DOI:
10.4236/ajcm.2012.22019
4,693
Downloads
9,846
Views
Citations
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