Integro-Differential Equations; Laplace Transform Method; Adomian Decomposition Method - Articles

Application of the Modified Adomian Decomposition Method on a Mathematical Model of COVID-19 (Articles)

Justina Mulenga, Patrick Azere Phiri

Journal of Applied Mathematics and Physics Vol.11 No.9, September 19, 2023

DOI: 10.4236/jamp.2023.119169 269 Downloads 954 Views Citations
Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method (Articles)

Mohamed Elbadri

Applied Mathematics Vol.9 No.2, February 22, 2018

DOI: 10.4236/am.2018.92009 1,644 Downloads 5,064 Views Citations
Adomian Decomposition Method for Solving Goursat's Problems (Articles)

Mariam A. Al-Mazmumy

Applied Mathematics Vol.2 No.8, August 8, 2011

DOI: 10.4236/am.2011.28134 6,546 Downloads 12,973 Views Citations
An Efficient Decomposition Method for Solving Bratu’s Boundary Value Problem (Articles)

Mariam Al-Mazmumy, Ahlam Al-Mutairi, Kholoud Al-Zahrani

American Journal of Computational Mathematics Vol.7 No.1, March 31, 2017

DOI: 10.4236/ajcm.2017.71007 2,162 Downloads 5,016 Views Citations
A Domain-Boundary Integral Treatment of Transient Scalar Transport with Memory (Articles)

Okey Oseloka Onyejekwe

Applied Mathematics Vol.7 No.11, July 12, 2016

DOI: 10.4236/am.2016.711109 1,779 Downloads 2,937 Views Citations
This article belongs to the Special Issue on Applied Iterative Methods
Galerkin Method for Numerical Solution of Volterra Integro-Differential Equations with Certain Orthogonal Basis Function (Articles)

Omotayo Adebayo Taiwo, Liman Kibokun Alhassan, Olutunde Samuel Odetunde, Olatayo Olusegun Alabi

International Journal of Modern Nonlinear Theory and Application Vol.12 No.2, June 30, 2023

DOI: 10.4236/ijmnta.2023.122005 349 Downloads 1,492 Views Citations
Analytical Solution of Two Extended Model Equations for Shallow Water Waves By Adomian’S Decomposition Method (Articles)

Mehdi. Safari

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

DOI: 10.4236/apm.2011.14042 6,639 Downloads 12,910 Views Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mohammad Danesh, Mehdi Safari

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

DOI: 10.4236/apm.2011.16062 7,546 Downloads 15,820 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 6,314 Downloads 10,567 Views Citations
Mathematical modelling of a biofilm: The Adomian decomposition method (Articles)

Subramanian Muthukaruppan, Alagu Eswari, Lakshmanan Rajendran

Natural Science Vol.5 No.4, April 19, 2013

DOI: 10.4236/ns.2013.54059 4,384 Downloads 7,731 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
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 5,691 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
Numerical Solution of Nonlinear Integro-Differential Equations with Initial Conditions by Bernstein Operational Matrix of Derivative (Articles)

Behrooz Basirat, Mohammad Amin Shahdadi

International Journal of Modern Nonlinear Theory and Application Vol.2 No.2, June 20, 2013

DOI: 10.4236/ijmnta.2013.22018 6,304 Downloads 15,732 Views Citations
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations (Articles)

Mohamed Z. Mohamed, Tarig M. Elzaki

Applied Mathematics Vol.9 No.4, April 30, 2018

DOI: 10.4236/am.2018.94032 1,991 Downloads 5,052 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 3,641 Downloads 5,670 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 1,163 Views Citations
Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation (Articles)

Magdy Ahmed Mohamed, Mohamed Shibl Torky

American Journal of Computational Mathematics Vol.3 No.3, August 14, 2013

DOI: 10.4236/ajcm.2013.33026 7,817 Downloads 14,216 Views Citations
Laplace Inverse Transform for Functions of Type nth Root of a Product of Linear Factors (Articles)

Uriel Salmeron-Rodriguez

Open Access Library Journal Vol.4 No.7, July 6, 2017

DOI: 10.4236/oalib.1103741 944 Downloads 2,954 Views Citations
Laplace Transform, Non-Constant Coefficients Differential Equations and Applications to Riccati Equation (Articles)

Malick Ndiaye

Applied Mathematics Vol.11 No.7, July 22, 2020

DOI: 10.4236/am.2020.117043 1,131 Downloads 5,602 Views Citations

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