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Computational methods for singularly perturbed problems with two small parameters have been studied in different ways [17 21].
Mohanty et al. [14 17] gave spline in compression methods for singularly perturbed two-point singular boundary value problems and gave convergent spline in tension methods for singularly perturbed two-point singular boundary value problems.
A comprehensive review of the literature on numerical methods for singularly perturbed differential equations may be found in [8 12].
In order to construct parameter-uniform numerical methods for singularly perturbed differential equations, two different techniques are applied.
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In this paper, we present a finite element method for singularly perturbed convection diffusion problems in both one and two dimensions, based on a set of weighted basis functions constructed on unstructured meshes (in 2D).
We are concerned with using high accuracy numerical methods for solving singularly perturbed problems whose solutions exhibit an interior layer.
Classical numerical methods are inappropriate for singularly perturbed problems.
The problem of constructing a parameter-uniform numerical method for a singularly perturbed self-adjoint ordinary differential equation is considered.
In this paper we develop an exponentially fitted finite element method for a singularly perturbed advection diffusion problem with a singular perturbation parameter ϵ.
We focus on the development of a Lyapunov-based economic model predictive control (LEMPC) method for nonlinear singularly perturbed systems in standard form arising naturally in the modeling of two-time-scale chemical processes.
We construct and analyze non-standard finite difference methods for a class of singularly perturbed differential equations.
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