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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
3,743
Downloads
4,743
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
5,546
Downloads
8,802
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
2,482
Downloads
3,433
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
1,092
Downloads
2,455
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
5,319
Downloads
7,237
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
6,217
Downloads
7,343
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
3,113
Downloads
4,396
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
3,822
Downloads
6,431
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
970
Downloads
1,881
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
8,083
Downloads
12,518
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
159
Downloads
865
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
4,297
Downloads
6,088
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
2,874
Downloads
3,755
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
6,931
Downloads
11,002
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
1,062
Downloads
2,609
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
513
Downloads
2,238
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
787
Downloads
1,389
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
204
Downloads
1,104
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
6,646
Downloads
14,474
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
4,714
Downloads
9,607
Views
Citations
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