Nonlinear Fredholm Integral Equations; Contraction Mapping; Adomian Decomposition Method; Quadratures Techniques - Articles

Convergence of Discrete Adomian Method for Solving a Class of Nonlinear Fredholm Integral Equations (Articles)

Ibrahim Lotfy Hassan Alkalla, Reda Abdo Abd-Elmonem, Ayman Mohamed Ali Ahmed Gomaa

Applied Mathematics Vol.4 No.1A, January 30, 2013

DOI: 10.4236/am.2013.41A033 5,353 Downloads 9,180 Views Citations
This article belongs to the Special Issue on Numerical Analysis
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 767 Downloads 3,662 Views Citations
Modified Adomian Techniques Applied to Non-Linear Volterra Integral Equations (Articles)

Haifa H. Ali, Fawzi Abdelwahid

Open Journal of Applied Sciences Vol.3 No.2, June 20, 2013

DOI: 10.4236/ojapps.2013.32027 4,370 Downloads 7,064 Views Citations
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 2,409 Downloads 3,868 Views Citations
Runge-Kutta Method and Bolck by Block Method to Solve Nonlinear Fredholm-Volterra Integral Equation with Continuous Kernel (Articles)

A. M. Al-Bugami, J. G. Al-Juaid

Journal of Applied Mathematics and Physics Vol.8 No.9, September 30, 2020

DOI: 10.4236/jamp.2020.89152 832 Downloads 2,380 Views Citations
Higher-Order Numeric Solutions for Nonlinear Systems Based on the Modified Decomposition Method (Articles)

Junsheng Duan

Journal of Applied Mathematics and Physics Vol.2 No.1, January 9, 2014

DOI: 10.4236/jamp.2014.21001 4,009 Downloads 6,079 Views Citations
Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM) (Articles)

Maryam Al-Mazmumy, Safa O. Almuhalbedi

International Journal of Modern Nonlinear Theory and Application Vol.5 No.4, December 16, 2016

DOI: 10.4236/ijmnta.2016.54022 2,038 Downloads 4,614 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 6,132 Downloads 11,773 Views Citations
The Adomian Decomposition Method for a Type of Fractional Differential Equations (Articles)

Peng Guo

Journal of Applied Mathematics and Physics Vol.7 No.10, October 24, 2019

DOI: 10.4236/jamp.2019.710166 1,471 Downloads 5,033 Views Citations
Numerical Treatment of Nonlinear Volterra-Fredholm Integral Equation with a Generalized Singular Kernel (Articles)

Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni

American Journal of Computational Mathematics Vol.6 No.3, September 14, 2016

DOI: 10.4236/ajcm.2016.63025 1,812 Downloads 3,406 Views Citations
Theoretical Analysis of Mass Transfer with Chemical Reaction Using Absorption of Carbon Dioxide into Phenyl Glycidyl Ether Solution (Articles)

Muthukaruppan Subramaniam, Indira Krishnaperumal, Rajendran Lakshmanan

Applied Mathematics Vol.3 No.10, October 12, 2012

DOI: 10.4236/am.2012.310172 4,982 Downloads 8,025 Views Citations
Numerical Treatment of Initial-Boundary Value Problems with Mixed Boundary Conditions (Articles)

Nawal Abdullah Alzaid, Huda Omar Bakodah

American Journal of Computational Mathematics Vol.8 No.2, June 28, 2018

DOI: 10.4236/ajcm.2018.82012 1,631 Downloads 3,892 Views Citations
Adomian Decomposition Method for Solving Boussinesq Equations Using Maple (Articles)

Ameera Aljuhani, Dalal Maturi, Hashim Alshehri

Applied Mathematics Vol.14 No.2, February 23, 2023

DOI: 10.4236/am.2023.142007 282 Downloads 1,244 Views Citations
This article belongs to the Special Issue on Applied Mathematics and Analysis
A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method (Articles)

Maha S. M. Shehata

American Journal of Computational Mathematics Vol.5 No.2, June 26, 2015

DOI: 10.4236/ajcm.2015.52016 5,962 Downloads 8,352 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 1,562 Downloads 5,644 Views Citations
Solving Different Types of Differential Equations Using Modified and New Modified Adomian Decomposition Methods (Articles)

Justina Mulenga, Patrick Azere Phiri

Journal of Applied Mathematics and Physics Vol.11 No.6, June 29, 2023

DOI: 10.4236/jamp.2023.116108 276 Downloads 1,246 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 6,249 Downloads 10,413 Views Citations
Adomian Decomposition Method for Solving Goursat's Problems (Articles)

Mariam A. Al-Mazmumy

Applied Mathematics Vol.2 No.8, August 8, 2011

DOI: 10.4236/am.2011.28134 6,456 Downloads 12,768 Views Citations
Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method (Articles)

Waleed Al-Hayani

Applied Mathematics Vol.4 No.6, June 3, 2013

DOI: 10.4236/am.2013.46121 6,309 Downloads 11,238 Views Citations
Comparative Study of the Adomian Decomposition Method and Alternating Direction Implicit (ADI) for the Resolution of the Problems of Advection-Diffusion-Reaction (Articles)

André Bitsindou, Joseph Bonazebi-Yindoula, Gabriel Bissanga

Journal of Applied Mathematics and Physics Vol.6 No.9, September 30, 2018

DOI: 10.4236/jamp.2018.69165 874 Downloads 1,874 Views Citations

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