Results 101 to 110 of about 6,844 (227)

Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions [PDF]

, 2019
summary:For a second-order singularly perturbed ordinary differential equation (ODE) under the Robin type boundary conditions, we develop an energetic Robin boundary functions method (ERBFM) to find the solution, which automatically satisfies the Robin ...
Liu, Chein-Shan, Li, Botong
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Uniform asymptotic expansion of the solution for the initial value problem with a piecewise constant argument

Қарағанды университетінің хабаршысы. Математика сериясы
The 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
doaj   +1 more source

Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift

International Journal of Differential Equations, 2012
We have presented a numerical integration method to solve a class of singularly perturbed delay differential equations with small shift. First, we have replaced the second-order singularly perturbed delay differential equation by an asymptotically ...
Gemechis File, Y. N. Reddy
doaj   +1 more source

Asymptotic convergence of the solution for singularly perturbed boundary value problem with boundary jumps

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
The article is devoted to study of boundary value problem with boundary jumps for third order linear integro-differential equation with a small parameter at the highest derivatives, provided that additional characteristic equation’s roots have opposite ...
A.E. Mirzakulova, N. Atakhan, N. Asset, A. Rysbek   +3 more
doaj   +1 more source

Differential transform method for solving singularly perturbed volterra integral equations

, 2011
In this work, the applications of differential transform method were extended to singularly perturbed Volterra integral equations. To show the efficiency of the method, some singularly perturbed Volterra integral equations are solved as numerical ...
Dogan N., Momani S., Akin Ö., Yildirim A., Ertürk V.S.   +4 more
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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.
europepmc   +1 more source

Almost Invariant Elliptic Manifolds

, 2001
We consider a singularly perturbed Hamiltonian system, which loses one degree of freedom at " = 0. Assume the slow manifold to be normally elliptic. In the case of an analytic Hamilton function it is shown that the slow manifold persists up to an
V. Gelfreich, In Singularly Perturbed, L. Lerman   +2 more
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Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions

Advances in Nonlinear Analysis, 2019
In the present paper, we consider the following singularly perturbed problem:
Tang Xianhua, Chen Sitong
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Orthogonal Polynomials with Singularly Perturbed Freud Weights. [PDF]

Entropy (Basel), 2023
Min C, Wang L.
europepmc   +1 more source

Singularly Perturbed Fractional Schrödinger Equations with Critical Growth

Advanced Nonlinear Studies, 2018
We are concerned with the following singularly perturbed fractional Schrödinger equation:
He Yi
doaj   +1 more source