Results 61 to 70 of about 11,407,574 (171)

A Concrete Application of Adomian Decomposition Method [PDF]

open access: yes, 2012
The well known Adomian decomposition method is applied to solve a System of partial differential equations. The method is modified to be enabled to solve Systems of functional equations.
Roya Montazeri
core  

Adomian decomposition method and its applications

open access: yes, 2004
ÖZET Yüksek Lisans Tezi ADOMIAN AYRIŞIM METODU VE UYGULAMALARI MEHMET HANİFİ GEYİK İnönü Üniversitesi Fen Bilimleri Enstitüsü Matematik Ana bilim Dalı 76+viii Sayfa Ağustos 2004 Tez Danışmam: Y. Doç. Dr.
Geyik, Mehmet, Hanifi
core   +1 more source

Fast Adomian decomposition method for the Cauchy problem of the time-fractional reaction diffusion equation

open access: yesAdvances in Mechanical Engineering, 2016
The fractional reaction diffusion equation is one of the popularly used fractional partial differential equations in recent years. The fast Adomian decomposition method is used to obtain the solution of the Cauchy problem.
Xiang-Chao Shi, Lan-Lan Huang, Yi Zeng
doaj   +1 more source

Kudryashov Expansion Method Applied to Fisher Mathematical Model

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
We obtain new computational soliton solutions characterized by topological, rational, exponential, trigonometric, and hyperbolic functions for the Fisher equation. Using a good strategy, the Kudryashov expansion method is used to find different dynamical wave structures of soliton solutions within the scope of evolutionary dynamical structures of ...
Elif Deniz Öztürk   +3 more
wiley   +1 more source

ADOMIAN DECOMPOSITION METHOD AND VARIATIONAL ITERATION METHOD FOR SOLVING SASA-SATSUMA EQUATION

open access: yesScience Journal of University of Zakho
The Sasa-Satsuma equation is an integrable higher-order nonlinear Schrodinger equation. In this paper, two schemes are proposed to study numerical solutions of the Sasa-Satsuma nonlinear Schrödinger equation with initial conditions using the Adomian ...
Knier Salih, Saad Manaa
doaj   +1 more source

Thermal Radiative Flow and Entropy Generation in MHD Williamson Hybrid Nanofluid (Cu+Ag)/H2O Over a Porous Stretching Sheet With Non‐Fourier Heat Flux and Heat Source

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This study investigates the radiative magnetohydrodynamic (MHD) flow of Williamson and hybrid Williamson nanofluids (Cu–water and Cu + Ag–water) over a porous, linearly stretching sheet with suction and internal heat generation. Although nanofluids have been extensively studied, limited research addresses the combined influence of non‐Fourier heat flux,
Tigabu Gubena   +2 more
wiley   +1 more source

Solving linear and non-linear space-time fractional reaction-diffusion equations by the adomian decomposition method

open access: yes, 2008
In this paper, we consider linear and non-linear space-time fractional reaction-diffusion equations (STFRDE) on a finite domain. The equations are obtained from standard reaction-diffusion equations by replacing a second-order space derivative by a ...
Anh, Vo   +8 more
core   +1 more source

Independence Polynomial‐Based Approach for Fredholm–Volterra Integro‐Differential Problems of High Order

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A numerical collocation approach employing independence polynomials of paths is formulated to approximate the solutions of high‐order linear Fredholm–Volterra integro‐differential problems under mixed conditions. The proposed approach transforms the given equation and conditions into a matrix form, leading to a linear system whose unknowns are the ...
Fatma Kaci, Kang-Jia Wang
wiley   +1 more source

Adomian Decomposition Method Combined with Pade Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells

open access: yes, 2015
Theclassical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4(+)Tcells. The results indicate that the approximate solution by using the ADM is the same as that by using the Laplace ADM, but it can be obtained in ...
Chen F   +2 more
core   +1 more source

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan   +3 more
wiley   +1 more source

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