Exponentially fitted IMEX methods for advection–diffusion problems
نویسندگان
چکیده
منابع مشابه
Exponentially Fitted Error Correction Methods for Solving Initial Value Problems
In this article, we propose exponentially fitted error correction methods(EECM) which originate from the error correction methods recently developed by the authors (see [10, 11] for examples) for solving nonlinear stiff initial value problems. We reduce the computational cost of the error correction method by making a local approximation of exponential type. This exponential local approximation...
متن کاملExponentially fitted methods applied to fourth-order boundary value problems
Fourth-order boundary value problems are solved by means of exponentially-fitted methods of different orders. These methods, which depend on a parameter, can be constructed following a six-step flow chart of Ixaru and Vanden Berghe. Special attention is paid to the expression of the error term and to the choice of the parameter in order to make the error as small as possible. Some numerical exa...
متن کاملExponentially Fitted Symplectic Runge-Kutta-Nyström methods
In this work we consider symplectic Runge Kutta Nyström (SRKN) methods with three stages. We construct a fourth order SRKN with constant coefficients and a trigonometrically fitted SRKN method. We apply the new methods on the two-dimentional harmonic oscillator, the Stiefel-Bettis problem and on the computation of the eigenvalues of the Schrödinger equation.
متن کاملExponentially-fitted methods on layer-adapted meshes
In this paper, a new derivation of a uniformly-convergent, second-order method for singularly-perturbed, linear ordinary differential equations based on the freezing of the coefficients of the differential equation, and integration of the resulting equations subject to continuity and smoothness conditions at the nodes, is presented. The derivation presented here is compared with others based on...
متن کاملOn ε-uniform convergence of exponentially fitted methods
Abstract. A class of methods constructed to numerically approximate the solution of two-point singularly perturbed boundary value problems of the form εu + bu + cu = f use exponentials to mimic exponential behavior of the solution in the boundary layer(s). We refer to them as exponentially fitted methods. Such methods are usually exact on polynomials of certain degree and some exponential funct...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2017
ISSN: 0377-0427
DOI: 10.1016/j.cam.2016.08.025