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Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel
(Articles)
Fatheah Ahmed Hendi
,
Manal Mohamed Al-Qarni
American Journal of Computational Mathematics
Vol.6 No.2
, June 30, 2016
DOI:
10.4236/ajcm.2016.62019
2,429
Downloads
3,949
Views
Citations
Fractionalization of a Class of Semi-Linear Differential Equations
(Articles)
Issic K. C. Leung
,
K. Gopalsamy
Applied Mathematics
Vol.8 No.11
, November 30, 2017
DOI:
10.4236/am.2017.811124
1,694
Downloads
3,665
Views
Citations
Generalized Abel Inversion Using Homotopy Perturbation Method
(Articles)
Sunil Kumar
,
Om P. Singh
,
Sandeep Dixit
Applied Mathematics
Vol.2 No.2
, February 25, 2011
DOI:
10.4236/am.2011.22029
7,158
Downloads
13,526
Views
Citations
The First Integral Method for Solving Maccari’s System
(Articles)
Davood Rostamy
,
Fatemeh Zabihi
,
Kobra Karimi
,
Siamak Khalehoghli
Applied Mathematics
Vol.2 No.2
, February 25, 2011
DOI:
10.4236/am.2011.22030
5,456
Downloads
10,909
Views
Citations
The Appearance of Noise Terms in Modified Adomian Decomposition Method for Quadratic Integral Equations
(Articles)
Huda Omar Bakodah
American Journal of Computational Mathematics
Vol.2 No.2
, June 22, 2012
DOI:
10.4236/ajcm.2012.22017
6,275
Downloads
10,489
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
5,020
Downloads
10,475
Views
Citations
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
(Articles)
R. N. Prajapati
,
Rakesh Mohan
,
Pankaj Kumar
American Journal of Computational Mathematics
Vol.2 No.4
, December 25, 2012
DOI:
10.4236/ajcm.2012.24042
6,158
Downloads
11,604
Views
Citations
A Boundary Integral Formulation of the Plane Problem of Magneto-Elasticity for an Infinite Cylinder in a Transverse Magnetic Field
(Articles)
Moustafa Saber Abou-Dina
,
Ahmed Fouad Ghaleb
Engineering
Vol.5 No.4
, April 29, 2013
DOI:
10.4236/eng.2013.54052
4,875
Downloads
7,307
Views
Citations
New Exact Explicit Solutions of the Generalized Zakharov Equation via the First Integral Method
(Articles)
Yuhuai Sun
,
Hanlei Hu
,
Jian Zhang
Open Journal of Applied Sciences
Vol.4 No.5
, April 17, 2014
DOI:
10.4236/ojapps.2014.45025
3,855
Downloads
6,120
Views
Citations
Mode Stresses for the Interaction between Straight and Curved Cracks Problem in Plane Elasticity
(Articles)
M. R. Aridi
,
N. M. A. Nik Long
,
Z. K. Eshkuvatov
Journal of Applied Mathematics and Physics
Vol.2 No.5
, April 25, 2014
DOI:
10.4236/jamp.2014.25028
4,272
Downloads
5,817
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
6,608
Downloads
8,381
Views
Citations
Programming First Integral Method General Formula for the Solving Linear and Nonlinear Equations
(Articles)
Mohamed A. Abdoon
Applied Mathematics
Vol.6 No.3
, March 17, 2015
DOI:
10.4236/am.2015.63051
6,615
Downloads
8,377
Views
Citations
First Integral Method: A General Formula for Nonlinear Fractional Klein-Gordon Equation Using Advanced Computing Language
(Articles)
Mohamed A. Abdoon
American Journal of Computational Mathematics
Vol.5 No.2
, June 10, 2015
DOI:
10.4236/ajcm.2015.52011
6,303
Downloads
7,827
Views
Citations
Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind
(Articles)
Lian Chen
,
Junsheng Duan
Advances in Pure Mathematics
Vol.5 No.11
, September 7, 2015
DOI:
10.4236/apm.2015.511061
4,834
Downloads
7,145
Views
Citations
This article belongs to the Special Issue on
Integral Equations Research
New Oscillation Criteria for the Second Order Nonlinear Differential Equations with Damping
(Articles)
Quanxin Zhang
,
Xia Song
,
Shouhua Liu
Journal of Applied Mathematics and Physics
Vol.4 No.7
, June 30, 2016
DOI:
10.4236/jamp.2016.47122
1,619
Downloads
3,301
Views
Citations
The Successive Approximation Method for Solving Nonlinear Fredholm Integral Equation of the Second Kind Using Maple
(Articles)
Dalal Adnan Maturi
Advances in Pure Mathematics
Vol.9 No.10
, September 30, 2019
DOI:
10.4236/apm.2019.910040
1,575
Downloads
5,740
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
1,395
Downloads
3,429
Views
Citations
The Adomian Decomposition Method for Solving Volterra-Fredholm Integral Equation Using Maple
(Articles)
Hunida M. Malaikah
Applied Mathematics
Vol.11 No.8
, August 27, 2020
DOI:
10.4236/am.2020.118052
784
Downloads
3,753
Views
Citations
Numerical Solution of Mean-Square Approximation Problem of Real Nonnegative Function by the Modulus of Double Fourier Integral
(Articles)
Petro Savenko
,
Myroslava Tkach
Applied Mathematics
Vol.2 No.9
, September 19, 2011
DOI:
10.4236/am.2011.29149
4,526
Downloads
8,682
Views
Citations
Simulation on Calculation Accuracy of Three Methods for Live Line Measuring the Parameters of Transmission Lines with Mutual Inductance
(Articles)
Jianjun Su
,
Ronghua Zhang
,
Demin Cui
,
Yongqiang Chai
,
Xiaobo Li
,
Chengxue Zhang
,
Peiyan Li
,
Zhijian Hu
,
Yingying Hu
Energy and Power Engineering
Vol.5 No.4B
, November 20, 2013
DOI:
10.4236/epe.2013.54B272
4,883
Downloads
6,374
Views
Citations
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