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Numerical Method for Singularly Perturbed Third Order Ordinary Differential Equations of Convection-Diffusion Type
《Numerical Mathematics(Theory,Methods and Applications)》2014年第3期265-287,共23页J.Christy Roja A.Tamilselvan 
In this paper,we have proposed a numerical method for Singularly Perturbed Boundary Value Problems(SPBVPs)of convection-diffusion type of third order Ordinary Differential Equations(ODEs)in which the SPBVP is reduced ...
关键词：Singularly perturbed problems third order ordinary differential equations boundary value technique asymptotic expansion approximation shooting method finite difference scheme parallel computation 
A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory
《Numerical Mathematics(Theory,Methods and Applications)》2014年第1期23-40,共18页R.Nageshwar Rao P.Pramod Chakravarthy 
The authors wish to thank the Department of Science&Technology,Government of India,for their financial support under the project No.SR/S4/MS:598/09.
In this paper,a fitted Numerov method is constructed for a class of singularly perturbed one-dimensional parabolic partial differential equations with a small negative shift in the temporal variable.Similar boundary v...
关键词：Singular perturbations parabolic partial differential equation exponentially fitted method differential-difference equations 
Numerical Analysis of a System of Singularly Perturbed Convection-Diffusion Equations Related to Optimal Control被引量：3
《Numerical Mathematics(Theory,Methods and Applications)》2011年第4期562-575,共14页Hans-Görg Roos Christian Reibiger 
We consider an optimal control problem with an 1D singularly perturbed differential state equation.For solving such problems one uses the enhanced system of the state equation and its adjoint form.Thus,we obtain a sys...
关键词：CONVECTION-DIFFUSION linear finite elements a priori analysis layer-adapted meshes singular perturbed optimal control 
Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid被引量：2
《Numerical Mathematics(Theory,Methods and Applications)》2010年第1期1-22,共22页Jugal Mohapatra Srinivasan Natesan 
supported by the Department of Science & Technology, Government of India under research grant SR/S4/MS:318/06.
Adaptive grid methods are established as valuable computational technique in approximating effectively the solutions of problems with boundary or interior layers. In this paper,we present the analysis of an upwind sch...
关键词：Singular perturbation problems delay differential equations boundary layer upwind scheme adaptive mesh uniform convergence. 
Approximation of Derivative for a Singularly Perturbed Second-Order ODE of Robin Type with Discontinuous Convection Coefficient and Source Term
《Numerical Mathematics(Theory,Methods and Applications)》2009年第1期100-118,共19页R.Mythili Priyadharshini N.Ramanujam 
the Council of Scientific and Industrial Research,New Delhi,India for its financial support.
In this paper, a singularly perturbed Robin type boundary value problem for second-order ordinary differential equation with discontinuous convection coefficient and source term is considered. A robust-layer-resolving...
关键词：Singular perturbation problem piecewise uniform mesh discrete derivative discontinuous convection coefficient Robin boundary conditions discontinuous source term. 
Uniform Convergence Analysis for Singularly Perturbed Elliptic Problems with Parabolic Layers被引量：2
《Numerical Mathematics(Theory,Methods and Applications)》2008年第2期138-149,共12页Jichun Li Yitung Chen 
In this paper, using Lin＇s integral identity technique, we prove the optimal uniform convergence θ（Nx^-2ln^2Nx＋Ny^-2ln^2Ny） in the L^2-norm for singularly perturbed problems with parabolic layers. The error esti...
关键词：Finite element methods singularly perturbed problems uniformly convergent 
A Parameter-Uniform Finite Difference Method for a Coupled System of Convection-Diffusion Two-Point Boundary Value Problems被引量：3
《Numerical Mathematics(Theory,Methods and Applications)》2008年第2期176-197,共22页Eugene O'Riordan Jeanne Stynes Martin Stynes 
A system of m (≥2) linear convection-diffusion two-point boundary value problems is examined,where the diffusion term in each equation is multiplied by a small parameterεand the equations are coupled through their c...
关键词：Singularly perturbed CONVECTION-DIFFUSION coupled system piecewise-uniform mesh 
A Finite Difference Scheme on a Priori Adapted Meshes for a Singularly Perturbed Parabolic Convection-Diffusion Equation被引量：4
《Numerical Mathematics(Theory,Methods and Applications)》2008年第2期214-234,共21页Grigory I.Shishkin 
A boundary value problem is considered for a singularly perturbed parabolic convection-diffusion equation; we construct a finite difference scheme on α priori （sequentially） adapted meshes and study its convergence...
关键词：Singular perturbations convection-diffusion problem piecewise-uniform mesh α priori adapted mesh almost ε-uniform convergence 
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