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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
1,381
Downloads
3,373
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
5,617
Downloads
8,014
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
6,625
Downloads
8,448
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
4,182
Downloads
7,301
Views
Citations
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
3,974
Downloads
5,464
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
1,171
Downloads
2,542
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
352
Downloads
1,608
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
4,684
Downloads
7,017
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
7,661
Downloads
12,560
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
5,964
Downloads
9,806
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
1,194
Downloads
3,410
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
703
Downloads
3,369
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
1,006
Downloads
2,057
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
413
Downloads
2,024
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
7,129
Downloads
15,510
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
5,061
Downloads
10,548
Views
Citations
A Cubic Spline Method for Solving a Unilateral Obstacle Problem
(Articles)
El Bekkey Mermri
,
Abdelhafid Serghini
,
Abdelmajid El hajaji
,
Khalid Hilal
American Journal of Computational Mathematics
Vol.2 No.3
, September 28, 2012
DOI:
10.4236/ajcm.2012.23028
4,209
Downloads
7,730
Views
Citations
Numerical Solution of Troesch’s Problem by Sinc-Collocation Method
(Articles)
Mohamed El-Gamel
Applied Mathematics
Vol.4 No.4
, April 30, 2013
DOI:
10.4236/am.2013.44098
5,135
Downloads
8,384
Views
Citations
Four Steps Continuous Method for the Solution of
y″
=
f
(
x, y, y′
)
(Articles)
Adetola Olaide Adesanya
,
Mattew Remilekun Odekunle
,
Mfon Odo Udoh
American Journal of Computational Mathematics
Vol.3 No.2
, June 25, 2013
DOI:
10.4236/ajcm.2013.32025
4,282
Downloads
8,404
Views
Citations
Half-Step Continuous Block Method for the Solutions of Modeled Problems of Ordinary Differential Equations
(Articles)
A. A. James
,
A. O. Adesanya
,
J. Sunday
,
D. G. Yakubu
American Journal of Computational Mathematics
Vol.3 No.4
, October 9, 2013
DOI:
10.4236/ajcm.2013.34036
5,332
Downloads
10,215
Views
Citations
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