Results 31 to 40 of about 54,244 (231)
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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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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Application of the averaging method to the gyrokinetic plasma [PDF]
, 2006 we show that the solution to an oscillatory-singularly perturbed ordinary differential equation may be asymptotically expanded into a sum of oscillating terms.
Frenod, Emmanuel
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, 2016 For the third-order linearly singularly perturbed problems under four different types boundary conditions, we develop a weak-form integral equation method (WFIEM) to find the singular solution. In the WFIEM the exponentially and polynomially fitted trial
Chein-Shan Liu
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Discrete Dynamics in Nature and Society, 2012 Differential transform method is adopted, for the first time, for solving linear singularly perturbed two-point boundary value problems. Four numerical examples are given to demonstrate the effectiveness of the present method.
Nurettin Doğan +2 more
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Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d [PDF]
, 2016 We formulate a stabilized quasi-optimal Petrov-Galerkin method for singularly perturbed convection-diffusion problems based on the variational multiscale method.
Li, Guanglian +2 more
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Deep learning-based schemes for singularly perturbed convection-diffusion problems* [PDF]
ESAIM: Proceedings and Surveys, 2023 Deep learning-based numerical schemes such as Physically Informed Neural Networks (PINNs) have recently emerged as an alternative to classical numerical schemes for solving Partial Differential Equations (PDEs).
Beguinet Adrien +5 more
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A parameter robust numerical method for a two dimensional reaction-diffusion problem. [PDF]
, 2005 In this paper a singularly perturbed reaction-diffusion partial differential equation in two space dimensions is examined. By means of an appropriate decomposition, we describe the asymptotic behaviour of the solution of problems of this kind.
Clavero, C. +2 more
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Computational method for singularly perturbed two-parameter parabolic convection-diffusion problems
Cogent Mathematics & Statistics, 2020 This paper deals with the numerical solution of singularly perturbed parabolic convection-diffusion problems with two small positive parameters multiplying the convection and diffusion terms. A parameter-uniform computational method is developed to solve
T. Mekonnen, G. Duressa
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Singularly Perturbed Quadratically Nonlinear Dirichlet Problems [PDF]
Transactions of the American Mathematical Society, 1986 The Dirichlet problem for singularly perturbed elliptic equations of the form ε Δ u = A ( x , u ) ∇ u ⋅ ∇ u + B ( x ,
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