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

A New Algorithm Based on Differential Transform Method for Solving Partial Differential Equation System with Initial and Boundary Conditions (Articles)

Chenlu Huang, Jiwei Li, Fali Lin

Advances in Pure Mathematics Vol.10 No.5, May 25, 2020

DOI: 10.4236/apm.2020.105020 1,340 Downloads 4,784 Views Citations
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 7,130 Downloads 15,514 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 4,112 Downloads 6,693 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 6,449 Downloads 12,066 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 5,794 Downloads 9,506 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 931 Downloads 2,227 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 5,762 Downloads 10,310 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 4,989 Downloads 11,836 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 5,647 Downloads 9,041 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 1,954 Downloads 3,591 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 10,826 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 4,445 Downloads 7,253 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 5,303 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 719 Downloads 2,103 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 1,366 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 4,760 Downloads 7,352 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 6,039 Downloads 11,502 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 3,448 Downloads 5,254 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 1,073 Downloads 3,747 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 335 Downloads 1,412 Views Citations

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