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WONG-ZAKAI METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN ENGINEERING
(Vinca Inst Nuclear Sci, 2021)
In this paper, Wong-Zakai approximation methods are presented for some stochastic differential equations in engineering sciences. Wong-Zakai approximate solutions of the equations are analyzed and the numerical results are ...
Comparison of stochastic and random models for bacterial resistance
(Springer International Publishing Ag, 2017)
In this study, a mathematical model of bacterial resistance considering the immune system response and antibiotic therapy is examined under random conditions. A random model consisting of random differential equations is ...
On numerical solution to fractional non-linear oscillatory equations
(Springer, 2013)
In this article, the multi-step differential transform method (MsDTM) is applied to give approximate solutions of nonlinear ordinary differential equation such as fractional-non-linear oscillatory and vibration equations. ...
The modified algorithm for the differential transform method to solution of Genesio systems
(Elsevier Science Bv, 2012)
In this article, approximate analytical solution of chaotic Genesio system is acquired by the modified differential transform method (MDTM). The differential transform method (DTM) is mentioned in summary. MDTM can be ...
Solution of time-fractional generalized Hirota-Satsuma coupled KdV equation by generalised differential transformation method
(Emerald Group Publishing Ltd, 2013)
Purpose - In this article, the aim is to obtain an approximate analytical solution of time-fraction generalized Hirota-Satsuma coupled KDV with the help of the two dimensional differential transformation method (DTM). Exact ...
Generalized Beta Parameters for a SVEIR-Type Random Model of Polio Transmission
(Amer Inst Physics, 2018)
In this study, a SVEIR-type compartmental model of Poliomyelitis transmission is examined under random effects. We introduce Generalized Beta and normal distributed random parameters into the equation system to investigate ...
Adaptive multi-step differential transformation method to solve ODE systems
(Academic Publication Council, 2013)
In this paper, it is given a fast algorithm to solve chaotic differential systems using the multi-step differential transforms method (MsDTM). The approach is applied to a number of chaotic nonlinear differential equations ...
A multistage differential transformation method for approximate solution of Hantavirus infection model
(Elsevier Science Bv, 2012)
The goal of this study is presented a reliable algorithm based on the standard differential transformation method (DTM), which is called the multi-stage differential transformation method (MsDTM) for solving Hantavirus ...
On the solutions of nonlinear fractional Klein-Gordon equation with modified Riemann-Liouville derivative
(Elsevier Science Inc, 2014)
In this paper, fractional variational iteration method (FVIM) is applied for finding approximate analytical solutions of nonlinear fractional Klein-Gordon equation. Time-fractional derivative is described in the Riemann-Liouville ...
Deterministic stability and random behavior of a Hepatitis C model
(Public Library Science, 2017)
The deterministic stability of a model of Hepatitis C which includes a term defining the effect of immune system is studied on both local and global scales. Random effect is added to the model to investigate the random ...