Singularly perturbed linear boundary-value problems with pulse effects and the regular reduced problem
نویسندگان
چکیده
منابع مشابه
A hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer
The aim of this paper is to present a numerical method for singularly perturbed convection-diffusion problems with a delay. The method is a combination of the asymptotic expansion technique and the reproducing kernel method (RKM). First an asymptotic expansion for the solution of the given singularly perturbed delayed boundary value problem is constructed. Then the reduced regular delayed diffe...
متن کاملNumerical Solving of Singularly Perturbed Boundary Value Problems with Discontinuities
One-dimensional convection-diffusion problem with interior layers caused by the discontinuity of data is considered. Though standard Galerkin finite element method (FEM) generates oscillations in the numerical solutions, we prove its convergence in the ε-weighted norm of the first order on a class of layer-adapted meshes. We use streamline-diffusion finite element method (SDFEM) in order to sta...
متن کاملHeteroclinic Bifurcation and Singularly Perturbed Boundary Value Problems
We study a singularly perturbed boundary value problrm in R”““: i =.f(s. J, E). cj= glx, .r, s), B,(s(w,), .tj(uo), E)=O, B,(.~(m,+to), ~(w,+oJ), E) =O. Given a candidate for the 0th order approximation which exhibits both boundary layers and interior layers, we present a complete procedure to compute higher order expansions and a procedure to compute the real solution near a truncated asymptot...
متن کاملQuasilinear singularly perturbed problem with boundary perturbation.
A class of quasilinear singularly perturbed problems with boundary perturbation is considered. Under suitable conditions, using theory of differential inequalities we studied the asymptotic behavior of the solution for the boundary value problem.
متن کاملNon-polynomial spline solution of singularly perturbed boundary-value problems
In this article, using non-polynomial cubic spline we develop the classes of methods for the numerical solution of singularly perturbed two-point boundary-value problems. The purposed methods are secondorder and fourth-order accurate and applicable to problems both in singular and non-singular cases.Numerical results are given to illustrate the efficiency of our methods and compared with the me...
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: Ukrainian Mathematical Journal
سال: 1995
ISSN: 0041-5995,1573-9376
DOI: 10.1007/bf01056039