Adomian Polynomials - Articles - Scientific Research Publishing

A Novel Iterative Method Based on Bernstein-Adomian Polynomials to Solve Non-Linear Differential Equations (Articles)

Afaf Nasser Yousif, Ahmed Farooq Qasim

Open Access Library Journal Vol.7 No.5, April 29, 2020

DOI: 10.4236/oalib.1106267 719 Downloads 2,102 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 4,099 Downloads 6,242 Views Citations
Adomian Decomposition Method with Green’s Function for Solving Tenth-Order Boundary Value Problems (Articles)

Waleed Al-Hayani

Applied Mathematics Vol.5 No.10, June 3, 2014

DOI: 10.4236/am.2014.510136 3,637 Downloads 5,655 Views Citations
An Efficient Maple Program for Calculating Adomian Polynomials (Articles)

Mariam Al-Mazmumy

American Journal of Computational Mathematics Vol.13 No.4, November 3, 2023

DOI: 10.4236/ajcm.2023.134028 308 Downloads 1,156 Views Citations
Analytical Solution for the Time-Dependent Emden-Fowler Type of Equations by Homotopy Analysis Method with Genetic Algorithm (Articles)

Waleed Al-Hayani, Laheeb Alzubaidy, Ahmed Entesar

Applied Mathematics Vol.8 No.5, May 25, 2017

DOI: 10.4236/am.2017.85055 1,378 Downloads 2,761 Views Citations
New Extension of Unified Family Apostol-Type of Polynomials and Numbers (Articles)

Beih El-Sayed El-Desouky, Rabab Sabry Gomaa

Applied Mathematics Vol.6 No.9, August 5, 2015

DOI: 10.4236/am.2015.69134 3,041 Downloads 4,179 Views Citations
Polar Derivative Versions of Polynomial Inequalities (Articles)

Barchand Chanam

Advances in Pure Mathematics Vol.5 No.12, October 20, 2015

DOI: 10.4236/apm.2015.512068 2,070 Downloads 3,273 Views Citations
A Relationship between the Partial Bell Polynomials and Alternating Run Polynomials (Articles)

Yanan Feng, Zhe Wang

Open Journal of Discrete Mathematics Vol.13 No.2, April 28, 2023

DOI: 10.4236/ojdm.2023.132005 271 Downloads 1,023 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 10,970 Downloads 22,397 Views Citations
On the Derivative of a Polynomial (Articles)

Nisar A. Rather, Mushtaq A. Shah

Applied Mathematics Vol.3 No.7, June 21, 2012

DOI: 10.4236/am.2012.37110 5,998 Downloads 9,592 Views Citations
A Comment on “On Humbert Matrix Polynomials of Two Variables” (Articles)

Vicente Soler Basauri

Advances in Pure Mathematics Vol.3 No.5, July 23, 2013

DOI: 10.4236/apm.2013.35066 4,396 Downloads 6,907 Views Citations
Algebraic Structures of Mathematical Foundations (Articles)

Robert Murray Jones

Open Journal of Philosophy Vol.10 No.1, February 11, 2020

DOI: 10.4236/ojpp.2020.101010 814 Downloads 2,198 Views Citations
On Unitary N-Dilations for Tuples of Circulant Contractions and von Neumann’s Inequality (Articles)

Joachim Moussounda Mouanda, Edwige Josette Maleka Koubemba, Djagwa Dehainsala

American Journal of Computational Mathematics Vol.13 No.4, December 13, 2023

DOI: 10.4236/ajcm.2023.134032 224 Downloads 739 Views Citations
Operational Calculus with Hermite Polynomials and a Quite General Gaussian Integral (Articles)

Alfred Wünsche

Journal of Modern Physics Vol.16 No.5, May 30, 2025

DOI: 10.4236/jmp.2025.165040 99 Downloads 630 Views Citations
On Discrete Adomian Decomposition Method with Chebyshev Abscissa for Nonlinear Integral Equations of Hammerstein Type (Articles)

H. O. Bakodah, Mohamed Abdalla Darwish

Advances in Pure Mathematics Vol.2 No.5, September 25, 2012

DOI: 10.4236/apm.2012.25042 5,897 Downloads 10,824 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 4,444 Downloads 7,246 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 1,548 Downloads 5,300 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 314 Downloads 1,362 Views Citations
This article belongs to the Special Issue on Applied Mathematics and Analysis
Adomian Decomposition Method for Solving Fractional Time-Klein-Gordon Equations Using Maple (Articles)

Dalal Albogami, Dalal Maturi, Hashim Alshehri

Applied Mathematics Vol.14 No.6, June 6, 2023

DOI: 10.4236/am.2023.146024 479 Downloads 1,797 Views Citations
Uniform Convergence of Extremal Polynomials When Domains Have Corners and Special Cusps on the Boundary (Articles)

Fahreddin G. Abdullayev, Cem Koşar, Mehmet Kucukaslan

Advances in Pure Mathematics Vol.1 No.6, November 24, 2011

DOI: 10.4236/apm.2011.16056 4,180 Downloads 8,628 Views Citations

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