Results 61 to 70 of about 498,085 (213)

SOLVING NONLINEAR COUPLED FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS BY ZZ TRANSFORM AND ADOMIAN POLYNOMIALS

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
By combining the ZZ transform with Adomian polynomials, the semi-analytical solutions to nonlinear Caputo partial fractional differential equations have been derived in this work. The Caputo sense has been applied to the fractional derivative.
Amandeep Singh
semanticscholar   +1 more source

Solution of Time‐Fractional Coupled Burgers Equations by the Yang Transform Adomian Decomposition Method

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, the Yang transform Adomian decomposition method (YTADM) is employed in the solution of nonlinear time‐fractional coupled Burgers equations. The technique solves the fractional and nonlinear terms successfully via the Adomian decomposition of the Yang transform.
Mustafa Ahmed Ali, Mehmet Merdan, Yeou Jiann Lim   +2 more
wiley   +1 more source

Extension of natural transform method with Daftardar-Jafari polynomials for fractional order differential equations

Alexandria Engineering Journal, 2021
This article aims to introduce a new method, called the Natural Transform Iterative Method (NTIM) for the solution of fractional order differential equations. The natural transform iterative method is a modification to the natural transform decomposition
Rashid Nawaz, Nasir Ali, Laiq Zada, Kottakkkaran Sooppy Nisar, M.R. Alharthi, Wasim Jamshed   +5 more
doaj   +1 more source

Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani, Manisha, D. L. Suthar, S. D. Purohit, Ahmed Saoudi   +4 more
wiley   +1 more source

Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods

Journal of Applied Mathematics, 2014
The modified decomposition method (MDM) and homotopy perturbation method (HPM) are applied to obtain the approximate solution of the nonlinear model of tumour invasion and metastasis.
Norhasimah Mahiddin, S. A. Hashim Ali
doaj   +1 more source

Fourth- and fifth-order iterative schemes for nonlinear equations in coupled systems: A novel Adomian decomposition approach

Alexandria Engineering Journal, 2023
In the fields of numerical analysis and applied science, approximating the roots of nonlinear equations is a fundamental and intriguing challenge. With the rapid advancement of computing power, solving nonlinear equations using numerical techniques has ...
Muhammad Saqib, Daud Ahmad, Ahmad N. Al-Kenani, Tofigh Allahviranloo   +3 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

A Note on Multidimensional Sumudu‐Generalized Laplace Decomposition Method and Singular Pseudo‐Hyperbolic Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
The objective of this research is to establish an effective methodology for addressing specific linear, nonlinear, singular n + 1‐dimensional fractional pseudo‐hyperbolic equations via the use of the multi‐Sumudu and generalized Laplace transforms combined with the decomposition method.
Hassan Eltayeb, Said Mesloub, Shrideh K. Q. Al-Omari   +2 more
wiley   +1 more source

New Iterative Method Based on Laplace Decomposition Algorithm

Journal of Applied Mathematics, 2013
We introduce a new form of Laplace decomposition algorithm (LDA). By this form a new iterative method was achieved in which there is no need to calculate Adomian polynomials, which require so much computational time for higher-order approximations.
Sabir Widatalla, M. Z. Liu
doaj   +1 more source

A Hermite Polynomial Approach for Solving the SIR Model of Epidemics

Mathematics, 2018
In this paper, the problem of the spread of a non-fatal disease in a population is solved by using the Hermite collocation method. Mathematical modeling of the problem corresponds to a three-dimensional system of nonlinear ODEs.
Aydin Secer, Neslihan Ozdemir, Mustafa Bayram   +2 more
doaj   +1 more source