Adomian Decomposition Method; Volterra Integral Equations - Articles

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 4,247 Downloads 6,656 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 668 Downloads 3,200 Views Citations
Restarted Adomian Decomposition Method for Solving Volterra’s Population Model (Articles)

Mariam Al-Mazmumy, Safa Otyuan Almuhalbedi

American Journal of Computational Mathematics Vol.7 No.2，June 23, 2017

DOI: 10.4236/ajcm.2017.72016 1,359 Downloads 2,367 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 2,322 Downloads 3,567 Views Citations
Some New Applications of Elzaki Transform for Solution of Linear Volterra Type Integral Equations (Articles)

Saad Sharjeel, Mushtaq Ahmed Khan Barakzai

Journal of Applied Mathematics and Physics Vol.7 No.8，August 23, 2019

DOI: 10.4236/jamp.2019.78129 1,186 Downloads 4,012 Views Citations
This article belongs to the Special Issue on Integral Transformation and Its Applications
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 1,298 Downloads 4,390 Views Citations
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 5,235 Downloads 8,836 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Numerical Solutions of Volterra Equations Using Galerkin Method with Certain Orthogonal Polynomials (Articles)

James E. Mamadu, Ignatius N. Njoseh

Journal of Applied Mathematics and Physics Vol.4 No.2，February 26, 2016

DOI: 10.4236/jamp.2016.42044 3,503 Downloads 5,662 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 224 Downloads 945 Views Citations
This article belongs to the Special Issue on Applied Mathematics and Analysis
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 730 Downloads 1,996 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 6,101 Downloads 10,021 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 189 Downloads 867 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 6,162 Downloads 10,700 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 763 Downloads 1,542 Views Citations
The Adomian Decomposition Method and the Differential Transform Method for Numerical Solution of Multi-Pantograph Delay Differential Equations (Articles)

Musa Cakir, Derya Arslan

Applied Mathematics Vol.6 No.8，July 27, 2015

DOI: 10.4236/am.2015.68126 6,622 Downloads 9,049 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 3,880 Downloads 5,767 Views Citations
Laplace Discrete Adomian Decomposition Method for Solving Nonlinear Integro Differential Equations (Articles)

H. O. Bakodah, M. Al-Mazmumy, S. O. Almuhalbedi, Lazim Abdullah

Journal of Applied Mathematics and Physics Vol.7 No.6，June 30, 2019

DOI: 10.4236/jamp.2019.76093 961 Downloads 2,601 Views Citations
Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM) (Articles)

Maryam Al-Mazmumy, Safa O. Almuhalbedi

Int'l J. of Modern Nonlinear Theory and Application Vol.5 No.4，December 16, 2016

DOI: 10.4236/ijmnta.2016.54022 1,951 Downloads 4,275 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 1,736 Downloads 3,133 Views Citations
Recent Modifications of Adomian Decomposition Method for Initial Value Problem in Ordinary Differential Equations (Articles)

M. Almazmumy, F. A. Hendi, H. O. Bakodah, H. Alzumi

American Journal of Computational Mathematics Vol.2 No.3，September 28, 2012

DOI: 10.4236/ajcm.2012.23030 10,739 Downloads 21,595 Views Citations

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