High-order exponentially fitted difference schemes for singularly perturbed two-point boundary value problems
نویسندگان
چکیده
منابع مشابه
Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
A family of uniformly accurate finite-difference schemes for the model problem -em" + a(x)u' + b(x)u = f(x) is constructed using a general finite-difference framework of Lynch and Rice [Math. Comp., v. 34, 1980, pp. 333-372] and Doedel [SIAM J. Numer. Anal., v. 15, 1978, pp. 450-465], A scheme of order hp (uniform in e) is constructed to be exact on a collection of functions of the type {1, x,....
متن کاملGraded - Mesh Difference Schemes for Singularly Perturbed Two - Point Boundary Value Problems * By Eugene
This paper is concerned with the numerical approximation by compact finitedifference schemes of differential operators of the form Leu = eu(m) + ^Jv=0 avv^ without turning points. The stability of L£ combined with various auxiliary conditions is discussed, and a representation result for solutions of problems involving it is proven. This representation decomposes the solution into a smooth oute...
متن کاملUniformly Convergent Second Order Completely Fitted Finite Difference Scheme for Two-Parameters Singularly Perturbed Two Point Boundary Value Problem
© journal de afrikana www.jdeafrikana.com 233 Original Research Article ISSN; 2411-1376 Title: Uniformly Convergent Second Order Completely Fitted Finite Difference Scheme for Two-Parameters Singularly Perturbed Two Point Boundary Value Problem K. Phaneendra*, G. Mahesh Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, India _____________________...
متن کاملHigh-order Methods for Semilinear Singularly Perturbed Boundary Value Problems
We considered finite difference methods of higher order for semilinear singularly perturbed boundary value problems, consisted of constructing difference schemes on nonuniform meshes. Construction of schemes is presented and convergence uniform in perturbation parameter for one method is shown on Bakhvalov’s type of mesh. Numerical experiments demonstrated influence of different meshes on devel...
متن کاملVariable Mesh Finite Difference Method for Self-adjoint Singularly Perturbed Two-point Boundary Value Problems
A numerical method based on finite difference method with variable mesh is given for self-adjoint singularly perturbed two-point boundary value problems. To obtain parameteruniform convergence, a variable mesh is constructed, which is dense in the boundary layer region and coarse in the outer region. The uniform convergence analysis of the method is discussed. The original problem is reduced to...
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: ETNA - Electronic Transactions on Numerical Analysis
سال: 2018
ISSN: 1068-9613,1068-9613
DOI: 10.1553/etna_vol48s329