Results 21 to 30 of about 5,810 (155)

Admonian's method for Hammerstein integral equations arising from chemical reactor theory [PDF]

, 2001
An ordinary differential equation with a parameter in the boundary conditions describes the steady state in an adiabatic tubular chemical reactor. In this paper, the problem is considered as a Hammerstein integral equation and solutions are obtained ...
Madbouly, N.M., McGhee, D.F., Roach, G.F.   +2 more
core   +1 more source

Analytical Analysis of Fractional-Order Physical Models via a Caputo-Fabrizio Operator

Journal of Function Spaces, 2021
This paper investigates a modified analytical method called the Adomian decomposition transform method for solving fractional-order heat equations with the help of the Caputo-Fabrizio operator.
Fatemah Mofarreh, A. M. Zidan, Muhammad Naeem, Rasool Shah, Roman Ullah, Kamsing Nonlaopon   +5 more
doaj   +1 more source

Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions

Journal of Ocean Engineering and Science, 2018
In this paper, we are concerned with the numerical solutions for the parabolic and hyperbolic partial differential equations with nonlocal boundary conditions.
N.A. Al-Zaid, H.O. Bakodah
doaj   +1 more source

A Novel Iterative Scheme and Its Application to Differential Equations

The Scientific World Journal, 2014
The purpose of this paper is to employ an alternative approach to reconstruct the standard variational iteration algorithm II proposed by He, including Lagrange multiplier, and to give a simpler formulation of Adomian decomposition and modified Adomian ...
Yasir Khan, F. Naeem, Zdeněk Šmarda
doaj   +1 more source

A Comparison between Adomian Decomposition and Tau Methods [PDF]

Abstract and Applied Analysis, 2013
We present a comparison between Adomian decomposition method (ADM) and Tau method (TM) for the integro-differential equations with the initial or the boundary conditions. The problem is solved quickly, easily, and elegantly by ADM. The numerical results on the examples are shown to validate the proposed ADM as an effective numerical method to solve the
Necdet Bildik, Mustafa Inc
openaire   +4 more sources

Numerical treatment for traveling wave solutions of fractional Whitham-Broer-Kaup equations

Alexandria Engineering Journal, 2018
In the concerned article, we present the numerical solution of nonlinear coupled system of Whitham-Broer-Kaup equations (WBK) of fractional order. With the help of Laplace transform coupled with Adomian decomposition method, an iterative procedure is ...
Amjad Ali, Kamal Shah, Rahmat Ali Khan
doaj   +1 more source

Adomian Decomposition and Successive Approximation Methods for Solving Kaup-Boussinesq System

Science Journal of University of Zakho, 2019
The Kaup-Boussinesq system has been solved numerically by using two methods, Successive approximation method (SAM) and Adomian decomposition method (ADM).
Saad A. Manaa, Nergiz M. Mosa
doaj   +1 more source

Fractional Adomian Decomposition Method

, 2010
This paper has been asked to withdraw by the first ...
Wu, Guo-cheng, He, Ji-Huan
openaire   +2 more sources

Approximate solution to the fractional Lane-Emden type equations

, 2017
In this paper, approximate solutions for a class of fractional Lane - Emden type equations based on the series expansion method are presented. Various examples are introduced and discussed.
Abdel-Salam, Emad A-B., Nouh, M. I.
core   +1 more source

Newton-Raphson based modified Laplace Adomian decomposition method for solving quadratic Riccati differential equations

MATEC Web of Conferences, 2016
Numerical Laplace transform method is applied to approximate the solution of nonlinear (quadratic) Riccati differential equations mingled with Adomian decomposition method. A new technique is proposed in this work by reintroducing the unknown function in
Mishra Vinod, Rani Dimple
doaj   +1 more source