Results 61 to 70 of about 7,330 (206)

Accuracy Estimation of the Numerical Solutions for Chaotic Regime of the Pendulum With External and Parametric Excitation

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study involves the development of a framework for checking the accuracy of built‐in algorithms from Mathcad software. The built‐in algorithms used inside Mathcad software include Runge–Kutta method of the fourth order (RK4), Adams method, backward differential formula, AdamsBDF, Radau, Bulstoer, Stiffr, and Stiffb methods.
M. C. Kekana, M. Y. Shatalov, S. E. Fadugba, N. Jeeva, T. O. Tong, Theodore Simos   +5 more
wiley   +1 more source

A New Approach for the Fractional Rosenau–Hyman Problem by ARA Transform

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10970-10977, 30 July 2025.
ABSTRACT The primary aim of this research to establish the solution to time fractional Rosenau–Hyman problem (RHP) by utilizing a new approach including ARA transform and Daftardar–Gejji and Jafari iteration method (DGJIM). The fractional derivative is taken in Caputo sense.
Suleyman Cetinkaya, Ali Demir
wiley   +1 more source

Numerical Solution of Riccati Equations by the Adomian and Asymptotic Decomposition Methods over Extended Domains

International Journal of Differential Equations, 2015
We combine the Adomian decomposition method (ADM) and Adomian’s asymptotic decomposition method (AADM) for solving Riccati equations. We investigate the approximate global solution by matching the near-field approximation derived from the Adomian ...
Jafar Biazar, Mohsen Didgar
doaj   +1 more source

Estimation of Build-Up of Nuclide during Irradiation by Solving Ode through Adomian Decomposition Method (Adm).

IOSR Journal of Applied Physics, 2013
In this work, we considered first order differential equation (FODE) for nuclide build-up during irradiation of Gold (Au) with neutron. The approximate solutions to FODE are obtained using the Adomian Decomposition Method (ADM). Results have been found to be accurate and effective when compared with analytical solutions.
openaire   +1 more source

Solving linear and non-linear stiff system of ordinary differential equations by multistage adomian decomposition method [PDF]

, 2015
In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multistage Adomian decomposition method (MADM).
Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Hosen, Md Alal   +2 more
core  

Mixed Convection and Permeability Effects on Magnetohydrodynamic Williamson Fluid Flow Over an Inclined Stretchy Surface With Radiation Influence: Analytical Investigation

Engineering Reports, Volume 7, Issue 4, April 2025.
ABSTRACT The study introduces a computational method that combines Legendre polynomials with Gauss–Lobatto points to solve nonlinear coupled differential equations, focusing on the Williamson fluid model under the influence of mixed convection and permeability with mixed boundary conditions.
R. A. Oderinu, T. A. Oyeyinka, S. Alao, F. J. Ayanbukola, B. A. Sanusi   +4 more
wiley   +1 more source

Laplace Adomian decomposition method for integro differential equations on time scale

Ain Shams Engineering Journal
The aim of this work is to probe the Laplace Adomian decomposition method (LADM) for some certain linear and non-linear integro-differential equations on an arbitrary time scales. Although, several researchers have treated integro-differential equations (
Shafiq Hussain, Feroz Khan
doaj   +1 more source

An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method

, 2010
In this paper we propose a collocation method for solving some well-known classes of Lane-Emden type equations which are nonlinear ordinary differential equations on the semi-infinite domain. They are categorized as singular initial value problems.
A.R. Rezaei, Agarwal, Aslanov, Aslanov, Bao, Bataineh, Bender, Boyd, Boyd, Boyd, Boyd, Chandrasekhar, Chowdhury, Chowdhury, Christov, Coulaud, Davis, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Dehghan, Funaro, Funaro, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, He, Horedt, K. Parand, Kara, Kara, Liao, Liu, Maday, Mandelzweig, Marzban, Mehdi Dehghan, Parand, Parand, Parand, Parand, Parand, Parand, Ramos, Ramos, Ramos, Ramos, S Bataineh, S.M. Ghaderi, Saadatmandi, Shakeri, Shawagfeh, Shen, Shen, Shen, Shen, Singh, Siyyam, Tang, Tatari, Wazwaz, Wazwaz, Yildirim, Yousefi, Zhang   +74 more
core   +1 more source

Fractional Gauss Hypergeometric Power Series Method for Solving Fractional Partial Differential Equations

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
The Fractional Power Series Method (FPSM) is an effective and efficient method that offers an analytic method to find exact solution for Fractional Partial Differential Equations (FPDEs) in a functional space. In recent time, the FPSM has been applied in various science and engineering fields to solve physical problems in areas such as fluid dynamics ...
Isaac Addai, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah, Jaume Giné   +4 more
wiley   +1 more source

Application of Sumudu Decomposition Method to Solve Nonlinear System Volterra Integrodifferential Equations

Abstract and Applied Analysis, 2014
We develop a method to obtain approximate solutions for nonlinear systems of Volterra integrodifferential equations with the help of Sumudu decomposition method (SDM).
Hassan Eltayeb, Adem Kılıçman, Said Mesloub   +2 more
doaj   +1 more source