Results 11 to 20 of about 566 (183)
Second-order robust finite difference method for singularly perturbed Burgers' equation [PDF]
Heliyon, 2022 In this paper, a second-order robust method for solving singularly perturbed Burgers' equation were presented. To find the numerical approximation, we apply the quasilinearization technique before formulation of the scheme.
Masho Jima Kabeto, Gemechis File Duressa
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Computing singularly perturbed differential equations [PDF]
Journal of Computational Physics, 2018 A computational tool for coarse-graining nonlinear systems of ordinary differential equations in time is discussed. Three illustrative model examples are worked out that demonstrate the range of capability of the method. This includes the averaging of Hamiltonian as well as dissipative microscopic dynamics whose `slow' variables, defined in a precise ...
Sabyasachi Chatterjee +2 more
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A Singularly Perturbed System of Parabolic Equations
Lobachevskii Journal of Mathematics, 2021 The work is devoted to the construction of the asymptotic behavior of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends to zero. The asymptotics of the solution of such problems contains boundary layer functions.
Omuraliev, A. S., Esengul kyzy, P.
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Alexandria Engineering Journal, 2023 The dynamical properties of a class of difference equations with continuous arguments of the form x(t)=g(x(t-r1),x(t-r2)) and its singularly perturbed counterpart ∊dxdt=-x(t)+g(x(t-r1),x(t-r2)) are investigated here.
A.M.A. EL-Sayed +2 more
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Alexandria Engineering Journal, 2023 The Hénon map was introduced by Hénon. It is a very rich dynamical model as Hénon himself proved and compared the dynamical properties of his map with those of other dynamical systems such as the Ro¨ssler model.
A.M.A. El-Sayed +2 more
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Mathematics, 2020 In this study, the asymptotic behavior of the solutions to a boundary value problem for a third-order linear integro-differential equation with a small parameter at the two higher derivatives has been examined, under the condition that the roots of the ...
Assiya Zhumanazarova, Young Im Cho
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Robust numerical method for singularly perturbed differential equations having both large and small delay [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The purpose of this study is to develop stable, convergent and accurate numerical method for solving singularly perturbed differential equations having both small and large delay.
Habtamu Garoma Debela
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Singularly perturbed linear oscillator with piecewise-constant argument
Вестник КазНУ. Серия математика, механика, информатика, 2018 The Cauchy problem for singularly perturbed linear differential equation the second order with piecewise-constant argument is considered in the article.
M. U. Akhmet +3 more
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The Cauchy problem for singularly perturbed higher-order integro-differential equations
Вестник КазНУ. Серия математика, механика, информатика, 2019 The article is devoted to research the Cauchy problem for singularly perturbed higher-order linear integro-differential equation with a small parameter at the highest derivatives, provided that the roots of additional characteristic equation have ...
A. E. Mirzakulova +3 more
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A numerical technique for solving nonlinear singularly perturbed delay differential equations
Mathematical Modelling and Analysis, 2018 This paper presents a numerical technique for solving nonlinear singularly perturbed delay differential equations. Quasilinearization technique is applied to convert the nonlinear singularly perturbed delay differential equation into a sequence of linear
A.S.V. Ravi Kanth, Mohan Kumar P. Murali
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