Results 71 to 80 of about 569 (183)
A numerical approach for investigating a special class of fractional Riccati equation
Results in Physics, 2020 A computational scheme for solving special type of fractional Riccati equation with singularly perturbed (FRSP) is investigated. It is based on dividing the equation into algebraic equation and fractional equation.
Bothayna S. Kashkari, Muhammed I. Syam
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Spline‐Based Computational Technique for Singularly Perturbed Fredholm Integro‐Differential Problems
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this work, using a spline‐based discretization, we develop a computational approach for singularly perturbed Fredholm integro‐differential equations. The scheme addresses the challenges of the singular perturbation parameter ϵ through a tension and compression spline technique, coupled with Simpson’s rule for quadrature approximations.
Rajagopal S. +2 more
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Қарағанды университетінің хабаршысы. Математика сериясыThe article is devoted to the study of a singularly perturbed initial problem for a linear differential equation with a piecewise constant argument second-order for a small parameter.
A.E. Mirzakulova, K.T. Konisbayeva
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Numerical Methods for Singularly Perturbed Differential Equations
Irish Mathematical Society Bulletin, 1986 Some simple examples are given of boundary layers appearing in solutions of second order differential equations.
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Bifurcation of Solution in Singularly Perturbed ODEs by Using Lyapunov Schmidt Reduction
مجلة علوم ذي قار, 2019 This paper aims to study the bifurcation of solution in singularly perturbed ODEs: the hypothesis the bifurcation of ...
A. H.Kamil, K. H. Yasir
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Boundary layer analysis for nonlinear singularly perturbed differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2011 This paper focuses on the boundary layer phenomenon arising in the study of singularly perturbed differential equations. Our tools include the method of lower and upper solutions combined with analysis of the integral equation associated with the class ...
Robert Vrabel, V. Liska, I. Mankova
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On a set of singularly perturbed convection–diffusion equations
Journal of Computational and Applied Mathematics, 2005 The aim of the material is to study the convergence properties of a first-order upwind difference scheme applied to a weakly coupled system of singularly perturbed convection-diffusion equations: \[ \begin{aligned} -\varepsilon_1 u^{\prime\prime}_1- a_1 u_1'\quad &\text{in }(0,1),\quad u_1(0)= u_1(1)= 0,\\ -\varepsilon_2 u^{\prime\prime}_2- a_2 u_2 ...
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Singularly perturbed equations of degenerate type
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2017 This work is devoted to the study of nonvariational, singularly perturbed elliptic equations of degenerate type. The governing operator is anisotropic and ellipticity degenerates along the set of critical points. The singular behavior is of order \text{O}\left(\frac{1}{\epsilon }\right)
Damião J. Araújo +2 more
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Existence of Kink and Antikink Wave Solutions of Singularly Perturbed Modified Gardner Equation
MathematicsIn this paper, the singularly perturbed modified Gardner equation is considered. Firstly, for the unperturbed equation, under certain parameter conditions, we obtain the exact expressions of kink wave solution and antikink wave solution by using the ...
Weifang Yan, Linlin Wang, Min Zhang
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Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction-diffusion problems. [PDF]
BMC Res Notes, 2023 Reda BT, Bullo TA, Duressa GF.
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