Results 61 to 70 of about 1,952 (181)

Some Problems on Variational Iteration Method [PDF]

, 2015
In this research project paper, I introduce some basic idea of Variational iteration method and its algorithm to solve the equations ODE & PDE, fractional differential equation, fractal differential equation and differential-difference equations.
Patra, Jaysmita
core  

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

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  

Numerical Algorithm for Nonlinear Delayed Differential Systems of $n$th Order

, 2019
The purpose of this paper is to propose a semi-analytical technique convenient for numerical approximation of solutions of the initial value problem for $p$-dimensional delayed and neutral differential systems with constant, proportional and time varying
Rebenda, Josef, Šmarda, Zdeněk
core   +1 more source

Fractals and Chaotic Solitons Phenomena in Conformable Coupled Higgs System

Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
The current study aims to construct and examine a new plethora of soliton solutions for the conformable coupled Higgs system (CCHS), a system of nonlinear fractional partial differential equations (NFPDEs) which was initially presented utilize a systematic structure to consider the responsive mechanism of the Higgs system in the electroweak theory ...
Naveed Iqbal, Wael W. Mohammed, Amjad E. Hamza, Shah Hussain, Yousef Jawarneh, Rasool Shah, Ahmed Ezzat Matouk   +6 more
wiley   +1 more source

Solving linear optimal control problems of the time-delayed systems by Adomian decomposition method [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2019
We apply the Adomian decomposition method (ADM) to obtain a subop timal control for linear time-varying systems with multiple state and control delays and with quadratic cost functional.
S.M. Mirhosseini-Alizamini
doaj   +1 more source

Spectral Optimized Multiderivative Hybrid Block Method for Fitzhugh–Nagumo Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The Fitzhugh–Nagumo equation, a key model for excitable systems in biology and neuroscience, requires efficient numerical methods due to its nonlinear nature. A spectral optimized multiderivative hybrid block method is proposed, constructed using a multistep collocation and interpolation technique with an approximated power series as the basis function.
Uthman O. Rufai, Precious Sibanda, Sicelo P. Goqo, Salma A. A. Ahmedai, Adeyinka S. Adeyemo, Md. Kamrujjaman   +5 more
wiley   +1 more source

Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations

Journal of Mathematics, 2019
In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is ...
M. Valizadeh, Y. Mahmoudi, F. Dastmalchi Saei   +2 more
doaj   +1 more source

Symbolic Generation of Adomian Polynomials for Different Nonlinearities by Python [PDF]

Journal of Chemical and Petroleum Engineering
The Adomian decomposition method (ADM) is a powerful mathematical technique to find closed-form solutions to nonlinear functional equations including ODEs, PDEs, differential-difference, integral, integro-differential, algebraic, and transcendental ...
Mohsen Noorimohammad, Asadollah Houshmand, Hooman Fatoorehchi   +2 more
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