Results 1 to 10 of about 594 (186)

Asymptotic Convergence of the Solution of a Singularly Perturbed Integro-Differential Boundary Value Problem

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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Recovery problem for a singularly perturbed differential equation with an initial jump

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
The article investigates the asymptotic behavior of the solution to reconstructing the boundary conditions and the right-hand side for second-order differential equations with a small parameter at the highest derivative, which have an initial jump ...
D.N. Nurgabyl, S.S. Nazhim
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Asymptotic methods for solving boundary value eigenvalue problems [PDF]

E3S Web of Conferences, 2020
The aim of the study is an approximate construction with a given accuracy of solutions of boundary value problems for eigenvalues under various types of boundary conditions.
Zhukova Galina
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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, M. K. Dauylbaev, M. U. Akhmet, A. K. Dzhetpisbaeva   +3 more
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Parameter-uniformly convergent numerical scheme for singularly perturbed delay parabolic differential equation via extended B-spline collocation

Frontiers in Applied Mathematics and Statistics, 2023
This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems.
Zerihun Ibrahim Hassen, Gemechis File Duressa   +1 more
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The Asymptotics of Solutions of a Singularly Perturbed Equation with a of Fractional Turning Point

Известия Иркутского государственного университета: Серия "Математика", 2017
We develop the classical Vishik – Lyusternik – Vasil’eva – Imanaliev boundary-value method for constructing uniform asymptotic expansions of solutions of singularly perturbed equations with singular points.
D. A. Tursunov, K. G. Kozhobekov
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The existence, uniqueness and asymptotic estimates of solutions for third-order full nonlinear singularly perturbed vector boundary value problems

Boundary Value Problems, 2020
In this paper, we discuss third-order full nonlinear singularly perturbed vector boundary value problems. We first present the existence of solutions for the nonlinear vector boundary value problems without perturbation by using the upper and lower ...
Xiaojie Lin, Jiang Liu, Can Wang
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An exponentially fitted finite difference scheme for a class of singularly perturbed delay differential equations with large delays

Ain Shams Engineering Journal, 2017
This paper deals with singularly perturbed boundary value problem for a linear second order delay differential equation. It is known that the classical numerical methods are not satisfactory when applied to solve singularly perturbed problems in delay ...
P. Pramod Chakravarthy, S. Dinesh Kumar, R. Nageshwar Rao   +2 more
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An Intial-Value Technique for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems

International Journal of Applied Mechanics and Engineering, 2020
In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value ...
P. Padmaja, P. Aparna, R.S.R. Gorla
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Fitted cubic spline in tension difference scheme for two-parameter singularly perturbed delay parabolic partial differential equations

Partial Differential Equations in Applied Mathematics, 2023
A numerical study of a two-parameter singularly perturbed time-delay parabolic equation has been initiated. The proposed technique is based on a fitted operator finite difference scheme.
Naol Tufa Negero
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