Adomian Decomposition Method; Volterra Integral Equations - Articles

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 7,302 Downloads 15,193 Views Citations
Numerical Solutions of the Regularized Long-Wave (RLW) Equation Using New Modification of Laplace-Decomposition Method (Articles)

Nawal A. Al-Zaid, Huda O. Bakodah, Fathiah A. Hendi

Advances in Pure Mathematics Vol.3 No.1A，January 30, 2013

DOI: 10.4236/apm.2013.31A022 4,512 Downloads 9,570 Views Citations
This article belongs to the Special Issue on Differential Equations and Dynamic Systems
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 4,203 Downloads 7,173 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 818 Downloads 4,762 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 229 Downloads 1,198 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 181 Downloads 892 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 3,475 Downloads 5,071 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 176 Downloads 678 Views Citations
Solving high-order nonlinear Volterra-Fredholm integro-differential equations by differential transform method (Articles)

Salah H. Behiry, Saied I. Mohamed

Natural Science Vol.4 No.8，August 29, 2012

DOI: 10.4236/ns.2012.48077 7,645 Downloads 14,069 Views Citations
Cordial Volterra Integral Equations with Vanishing Delays* (Articles)

Hongjiu Wang, Zhanwen Yang, Melusi Khumalo

Journal of Applied Mathematics and Physics Vol.5 No.2，February 15, 2017

DOI: 10.4236/jamp.2017.52026 1,041 Downloads 2,148 Views Citations
Numerical Solution of Two-Dimensional Nonlinear Stochastic Itô-Volterra Integral Equations by Applying Block Pulse Functions (Articles)

Guo Jiang, Xiaoyan Sang, Jieheng Wu, Biwen Li

Advances in Pure Mathematics Vol.9 No.2，February 14, 2019

DOI: 10.4236/apm.2019.92004 1,057 Downloads 2,023 Views Citations
Regularization and Choice of the Parameter for the Third Kind Nonlinear Volterra-Stieltjes Integral Equation Solutions (Articles)

Nurgul Bedelova, Avyt Asanov, Zhypar Orozmamatova, Zhypargul Abdullaeva

Int'l J. of Modern Nonlinear Theory and Application Vol.10 No.2，May 26, 2021

DOI: 10.4236/ijmnta.2021.102006 368 Downloads 1,197 Views Citations
Some of Semi Analytical Methods for Blasius Problem (Articles)

Seval Catal

Applied Mathematics Vol.3 No.7，June 19, 2012

DOI: 10.4236/am.2012.37106 5,265 Downloads 8,757 Views Citations
Reduced Differential Transform Method for Solving Linear and Nonlinear Goursat Problem (Articles)

Sharaf Mohmoud, Mohamed Gubara

Applied Mathematics Vol.7 No.10，June 15, 2016

DOI: 10.4236/am.2016.710092 2,074 Downloads 4,371 Views Citations
Collocation Technique for Numerical Solution of Integral Equations with Certain Orthogonal Basis Function in Interval [0, 1] (Articles)

O. L. Babasola, I. Irakoze

Open Access Library Journal Vol.4 No.12，December 15, 2017

DOI: 10.4236/oalib.1104050 582 Downloads 2,757 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

Int'l J. of Modern Nonlinear Theory and Application Vol.8 No.1，February 1, 2019

DOI: 10.4236/ijmnta.2019.81002 1,765 Downloads 3,897 Views Citations
Application of He’s Variational Iteration Method and Adomian Decomposition Method to Solution for the Fifth Order Caudrey-Dodd-Gibbon (CDG) Equation (Articles)

Mehdi Safari

Applied Mathematics Vol.2 No.8，August 3, 2011

DOI: 10.4236/am.2011.28131 6,570 Downloads 12,192 Views Citations
Application of He’s Variational Iterative Method for Solving Thin Film Flow Problem Arising in Non-Newtonian Fluid Mechanics (Articles)

Abdul M. Siddiqui, Ali A. Farooq, Tahira Haroon, Muhammad A. Rana, Bruce S. Babcock

World Journal of Mechanics Vol.2 No.3，June 20, 2012

DOI: 10.4236/wjm.2012.23016 5,191 Downloads 9,041 Views Citations
Solution of non-linear boundary value problems in immobilized glucoamylase kinetics (Articles)

Swaminathan Sevukaperumal, Alagu Eswari, Lakshmanan Rajendran

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

DOI: 10.4236/ns.2013.54061 4,236 Downloads 6,829 Views Citations
Efficient Decomposition Shooting Method for Solving Third-Order Boundary Value Problems (Articles)

Nawal Al-Zaid, Kholoud Alzahrani, Huda Bakodah, Mariam Al-Mazmumy

Int'l J. of Modern Nonlinear Theory and Application Vol.12 No.3，September 14, 2023

DOI: 10.4236/ijmnta.2023.123006 210 Downloads 750 Views Citations

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