Numerical solutions for solving model time‐fractional Fokker–Planck equation
AMS Mahdy - Numerical Methods for Partial Differential …, 2021 - Wiley Online Library
In this work, we use two different techniques to discuss approximate analytical solutions for
the time‐fractional Fokker–Planck equation (TFFPE), namely the new iterative method (NIM) …
the time‐fractional Fokker–Planck equation (TFFPE), namely the new iterative method (NIM) …
[HTML][HTML] Approximate solution for nonlinear Duffing oscillator with damping effect using the modified differential transform method
S Nourazar, A Mirzabeigy - Scientia Iranica, 2013 - Elsevier
The Duffing oscillator is a common model for nonlinear phenomena in science and
engineering. In this paper, we use the modified differential transform method to obtain the …
engineering. In this paper, we use the modified differential transform method to obtain the …
Operational approach and solutions of hyperbolic heat conduction equations
K Zhukovsky - Axioms, 2016 - mdpi.com
We studied physical problems related to heat transport and the corresponding differential
equations, which describe a wider range of physical processes. The operational method …
equations, which describe a wider range of physical processes. The operational method …
[PDF][PDF] Differential transform method: A comprehensive review and analysis
HH Mehne - Iranian Journal of Numerical Analysis and Optimization, 2022 - ijnao.um.ac.ir
The complexity of solving differential equations in real-world applications motivates
researchers to extend numerical methods. Among different numerical and semi-analytical …
researchers to extend numerical methods. Among different numerical and semi-analytical …
On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equation
NH Aljahdaly, MA Alharbi, AA Alharbi… - Journal of Low …, 2023 - journals.sagepub.com
In this study, the nonlinear damping oscillations in a complex non-Maxwellian plasma are
investigated. For this purpose, the set of fluid equations of the present plasma model is …
investigated. For this purpose, the set of fluid equations of the present plasma model is …
Uncertainty quantification analysis of the biological Gompertz model subject to random fluctuations in all its parameters
In spite of its simple formulation via a nonlinear differential equation, the Gompertz model
has been widely applied to describe the dynamics of biological and biophysical parts of …
has been widely applied to describe the dynamics of biological and biophysical parts of …
A topological framework for identifying phenomenological bifurcations in stochastic dynamical systems
Abstract Changes in the parameters of dynamical systems can cause the state of the system
to shift between different qualitative regimes. These shifts, known as bifurcations, are critical …
to shift between different qualitative regimes. These shifts, known as bifurcations, are critical …
An effective numerical simulation for solving a class of Fokker–Planck equations using Laguerre wavelet method
K Srinivasa, H Rezazadeh… - Mathematical Methods in …, 2022 - Wiley Online Library
This work presents a fast and efficient approach for solving the Fokker–Planck equation via
the Laguerre wavelet collocation method. Properties of the Laguerre wavelet are presented …
the Laguerre wavelet collocation method. Properties of the Laguerre wavelet are presented …
Applications of differential transformation method to solve systems of ordinary and partial differential equations
In this study, the numerical solutions of some systems of ordinary and partial differential
equations have been analyzed by using the Differential Transformation Method (DTM) and …
equations have been analyzed by using the Differential Transformation Method (DTM) and …
[PDF][PDF] An explicit analytic solution to the Thomas-Fermi equation by the improved differential transform method
H Fatoorehchi, H Abolghasemi - Acta physica polonica A, 2014 - bibliotekanauki.pl
In this paper, a newly proposed analytical scheme by the authors namely the improved
differential transform method is employed to provide an explicit series solution to the …
differential transform method is employed to provide an explicit series solution to the …