Results 61 to 70 of about 445 (153)

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

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

A decomposition method for convective–radiative fin with heat generation

Ain Shams Engineering Journal, 2015
This work is aimed at studying the effect of environmental temperature such as radiation sink temperature, convection sink temperature and heat generation number on the temperature distribution and efficiency of a convective–radiative stationary fin. The
Pranab Kanti Roy, Hiranmoy Mondal, Ashis Mallick   +2 more
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

Modified Semiseparation of Variables Methods for Solving the System of Nonlinear Fractional Partial Differential Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The system of nonlinear fractional partial differential equations (SNFPDEs) are widely used in modeling various phenomena in applied sciences. Consequently, finding the solutions to SNFPDEs has become paramount. Recently, an analytic method known as the Semiseparation of Variables Method (S‐SVM) has been applied to obtain the exact solution of the ...
Henry Kwasi Asiedu, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah, Igor Freire   +4 more
wiley   +1 more source

Application of Optimal Homotopy Asymptotic Method to Burger Equations

Journal of Applied Mathematics, 2013
We apply optimal homotopy asymptotic method (OHAM) for finding approximate solutions of the Burger's-Huxley and Burger's-Fisher equations. The results obtained by proposed method are compared to those of Adomian decomposition method (ADM) (Ismail et al.,
R. Nawaz, H. Ullah, S. Islam, M. Idrees
doaj   +1 more source

The Optimal Homotopy Asymptotic Method for the Solution of Higher-Order Boundary Value Problems in Finite Domains

Abstract and Applied Analysis, 2012
We solve some higher-order boundary value problems by the optimal homotopy asymptotic method (OHAM). The proposed method is capable to handle a wide variety of linear and nonlinear problems effectively.
Javed Ali, S. Islam, Hamid Khan, Syed Inayat Ali Shah   +3 more
doaj   +1 more source

Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order

Complexity, 2019
This article studies the dynamical behavior of the analytical solutions of the system of fraction order model of HIV-1 infection. For this purpose, first, the proposed integer order model is converted into fractional order model.
Asma, Nigar Ali, Gul Zaman, Anwar Zeb, Vedat Suat Erturk, Il Hyo Jung   +5 more
doaj   +1 more source

Adomian decomposition method for solving nonlinear fractional delay differential equations [PDF]

BIO Web of Conferences
In this survey, presented numerical method said Adomian decomposition method (ADM) for settling nonlinear fractional delay differential equations (NFDDEs) .In this status use the fractional derivative with the Riemann-Liouville fractional (RLF ...
Gatea Ali Abdulsada
doaj   +1 more source

Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method

Abstract and Applied Analysis, 2014
We demonstrate the efficiency of reproducing kernel Hilbert space method on the seventh-order boundary value problems satisfying boundary conditions. These results have been compared with the results that are obtained by variational iteration method (VIM)
Mustafa Inc, Ali Akgül
doaj   +1 more source