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 4,233 Downloads 6,600 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 651 Downloads 3,118 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 1,351 Downloads 2,320 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 2,318 Downloads 3,542 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 1,169 Downloads 3,929 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 1,254 Downloads 4,226 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 5,229 Downloads 8,791 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 3,493 Downloads 5,618 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 214 Downloads 879 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 707 Downloads 1,934 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 6,093 Downloads 9,981 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 178 Downloads 806 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 6,143 Downloads 10,621 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 750 Downloads 1,493 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 6,595 Downloads 8,947 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 3,871 Downloads 5,722 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 951 Downloads 2,535 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 1,940 Downloads 4,229 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 1,728 Downloads 3,091 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 10,718 Downloads 21,504 Views Citations

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