Mathematical Modeling; Simulation; Adomian Decomposition Method; Initial Boundary Value Problems - Articles

Haar Wavelet Quasilinearization Approach for Solving Nonlinear Boundary Value Problems (Articles)

Harpreet Kaur, R.C. Mittal, Vinod Mishra

American Journal of Computational Mathematics Vol.1 No.3，September 19, 2011

DOI: 10.4236/ajcm.2011.13020 6,817 Downloads 14,841 Views Citations
Analytical expression of concentrations of adsorbed CO molecules, O atoms and oxide oxygen (Articles)

Chinnasamy Thangapandi, Lakshmanan Rajendran

Natural Science Vol.5 No.3，March 26, 2013

DOI: 10.4236/ns.2013.53045 3,954 Downloads 6,244 Views Citations
Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid (Articles)

Mustafa GÜLSU, Yalçn ÖZTÜRK

American Journal of Computational Mathematics Vol.1 No.4，December 9, 2011

DOI: 10.4236/ajcm.2011.14024 6,144 Downloads 11,453 Views Citations
Time-Spectral Solution of Initial-Value Problems—Subdomain Approach (Articles)

Jan Scheffel, Ahmed A. Mirza

American Journal of Computational Mathematics Vol.2 No.2，June 21, 2012

DOI: 10.4236/ajcm.2012.22010 5,481 Downloads 8,837 Views Citations
Proficiency of Second Derivative Schemes for the Numerical Solution of Stiff Systems (Articles)

James Adewale, Adesanya Olaide, Onsachi Oziohu, Sunday Joshua, Moses Omuya

American Journal of Computational Mathematics Vol.8 No.1，March 28, 2018

DOI: 10.4236/ajcm.2018.81008 780 Downloads 1,705 Views Citations
Analytical Solutions of Some Two-Point Non-Linear Elliptic Boundary Value Problems (Articles)

Vembu Ananthaswamy, Lakshmanan Rajendran

Applied Mathematics Vol.3 No.9，September 27, 2012

DOI: 10.4236/am.2012.39154 5,481 Downloads 9,494 Views Citations
Numerical Solution of Obstacle Problems by B-Spline Functions (Articles)

G.B Loghmani, F Mahdifar, S.R Alavizadeh

American Journal of Computational Mathematics Vol.1 No.2，July 4, 2011

DOI: 10.4236/ajcm.2011.12006 4,747 Downloads 11,263 Views Citations
Variational Iteration Method Solutions for Certain Thirteenth Order Ordinary Differential Equations (Articles)

Tunde A. Adeosun, Olugbenga J. Fenuga, Samuel O. Adelana, Abosede M. John, Ogunjimi Olalekan, Kazeem B. Alao

Applied Mathematics Vol.4 No.10，October 4, 2013

DOI: 10.4236/am.2013.410190 5,462 Downloads 8,367 Views Citations
Septic B-Spline Solution of Fifth-Order Boundary Value Problems (Articles)

Bin Lin

Journal of Applied Mathematics and Physics Vol.4 No.8，August 9, 2016

DOI: 10.4236/jamp.2016.48149 1,805 Downloads 3,034 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 5,729 Downloads 10,331 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 4,233 Downloads 6,598 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 1,251 Downloads 4,210 Views Citations
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 604 Downloads 1,651 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 875 Views Citations
This article belongs to the Special Issue on Applied Mathematics and Analysis
Symmetric Solutions of a Nonlinear Elliptic Problem with Neumann Boundary Condition (Articles)

Ana Magnolia Marin Ramirez, Ruben Dario Ortiz Ortiz, Joel Arturo Rodriguez Ceballos

Applied Mathematics Vol.3 No.11，November 20, 2012

DOI: 10.4236/am.2012.311233 4,582 Downloads 6,827 Views Citations
Application of the Hybrid Differential Transform Method to the Nonlinear Equations (Articles)

Inci Çilingir Süngü, Hüseyin Demir

Applied Mathematics Vol.3 No.3，March 27, 2012

DOI: 10.4236/am.2012.33039 5,819 Downloads 10,869 Views Citations
A Block Procedure with Linear Multi-Step Methods Using Legendre Polynomials for Solving ODEs (Articles)

Khadijah M. Abualnaja

Applied Mathematics Vol.6 No.4，April 29, 2015

DOI: 10.4236/am.2015.64067 3,247 Downloads 4,694 Views Citations
Homotopy Analysis Method for Solving Initial Value Problems of Second Order with Discontinuities (Articles)

Waleed Al-Hayani, Rasha Fahad

Applied Mathematics Vol.10 No.6，June 17, 2019

DOI: 10.4236/am.2019.106030 906 Downloads 2,911 Views Citations
Numerical Solutions of a Generalized Nth Order Boundary Value Problems Using Power Series Approximation Method (Articles)

Ignatius N. Njoseh, Ebimene J. Mamadu

Applied Mathematics Vol.7 No.11，July 11, 2016

DOI: 10.4236/am.2016.711107 1,745 Downloads 3,579 Views Citations
This article belongs to the Special Issue on Applied Iterative Methods
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

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