Adomian Polynomials - Articles - Scientific Research Publishing

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 6,389 Downloads 11,462 Views Citations
Adomian Decomposition Approach to the Solution of the Burger’s Equation (Articles)

Iyakino P. Akpan

American Journal of Computational Mathematics Vol.5 No.3, September 9, 2015

DOI: 10.4236/ajcm.2015.53030 5,358 Downloads 7,136 Views Citations
Solving of Klein-Gordon by Two Methods of Numerical Analysis (Articles)

Joseph Bonazebi Yindoula, Alphonse Massamba, Gabriel Bissanga

Journal of Applied Mathematics and Physics Vol.4 No.10, October 27, 2016

DOI: 10.4236/jamp.2016.410194 1,913 Downloads 3,690 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 913 Downloads 2,000 Views Citations
Solving the Linear Oscillatory Problem without Damping with Random Loading Condition Using the Decomposition Method (Articles)

Amnah S. Al-Juhani, Aleh A. Al-Shammari

Journal of Applied Mathematics and Physics Vol.7 No.3, March 13, 2019

DOI: 10.4236/jamp.2019.73038 845 Downloads 1,587 Views Citations
Solution of a Nonlinear Delay Differential Equation Using Adomian Decomposition Method with Accelerated Formula of Adomian Polynomial (Articles)

I. L. El-Kalla, Khaled M. Abd Elgaber, Ali R. Elmahdy, Ahmed Y. Sayed

American Journal of Computational Mathematics Vol.9 No.4, November 26, 2019

DOI: 10.4236/ajcm.2019.94017 1,281 Downloads 3,851 Views Citations
Numerical Consideration of Chen-Lee-Liu Equation through Modification Method for Various Types of Solitons (Articles)

A. S. H. F. Mohammed, O. H. Bakodah

American Journal of Computational Mathematics Vol.10 No.3, July 24, 2020

DOI: 10.4236/ajcm.2020.103021 669 Downloads 2,044 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 801 Downloads 3,833 Views Citations
Double Elzaki Transform Decomposition Method for Solving Third Order Korteweg-De-Vries Equations (Articles)

Moh A. Hassan, Tarig M. Elzaki

Journal of Applied Mathematics and Physics Vol.9 No.1, January 6, 2021

DOI: 10.4236/jamp.2021.91003 590 Downloads 1,844 Views Citations
The Adomian Decomposition Method for Solving Nonlinear Partial Differential Equation Using Maple (Articles)

Dalal Adnan Maturi, Honaida Mohammed Malaikah

Advances in Pure Mathematics Vol.11 No.6, June 28, 2021

DOI: 10.4236/apm.2021.116038 1,004 Downloads 5,690 Views Citations
The Natural Transform Decomposition Method for Solving Fractional Klein-Gordon Equation (Articles)

Mohamed Elbadri

Applied Mathematics Vol.14 No.3, March 31, 2023

DOI: 10.4236/am.2023.143014 356 Downloads 1,724 Views Citations
Adomian Decomposition Method for Solving Time Fractional Burgers Equation Using Maple (Articles)

Fayza Alwehebi, Aatef Hobiny, Dalal Maturi

Applied Mathematics Vol.14 No.5, May 31, 2023

DOI: 10.4236/am.2023.145020 306 Downloads 1,414 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 6,807 Downloads 9,690 Views Citations
Factorization of Cyclotomic Polynomials with Quadratic Radicals in the Coefficients (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.7 No.9, September 27, 2017

DOI: 10.4236/apm.2017.79032 1,428 Downloads 4,137 Views Citations
A Fundamental Relationship of Polynomials and Its Proof (Articles)

Serdar Beji

Advances in Pure Mathematics Vol.8 No.6, June 26, 2018

DOI: 10.4236/apm.2018.86033 1,423 Downloads 2,821 Views Citations
On a Dual to the Properties of Hurwitz Polynomials I (Articles)

Gastón Vergara-Hermosilla

American Journal of Computational Mathematics Vol.11 No.1, March 17, 2021

DOI: 10.4236/ajcm.2021.111003 855 Downloads 2,143 Views Citations
Method of Successive Polynomial Substitutions for Computing Roots of Polynomials (Articles)

Serdar Beji

Advances in Pure Mathematics Vol.16 No.6, June 16, 2026

DOI: 10.4236/apm.2026.166023 28 Downloads 164 Views Citations
Associated Hermite Polynomials Related to Parabolic Cylinder Functions (Articles)

Alfred Wünsche

Advances in Pure Mathematics Vol.9 No.1, January 23, 2019

DOI: 10.4236/apm.2019.91002 1,109 Downloads 3,114 Views Citations
Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan-Rach-Wazwaz Modified Adomian Decomposition Method (Articles)

Ömür Umut, Serpil Yaşar

International Journal of Modern Nonlinear Theory and Application Vol.8 No.1, February 1, 2019

DOI: 10.4236/ijmnta.2019.81002 1,966 Downloads 4,535 Views Citations
Note on Laguerre Transform in two Variables (Articles)

Ajay Shukla, I.A. Salehbhai

Advances in Pure Mathematics Vol.1 No.4, July 28, 2011

DOI: 10.4236/apm.2011.14035 5,808 Downloads 12,420 Views Citations

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