Accelerated Exponentially Fitted Operator Method for Singularly Perturbed Problems with Integral Boundary Condition
نویسندگان
چکیده
منابع مشابه
An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations
This paper deals with singularly perturbed initial value problem for linear first-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. The difference scheme is shown to be uniformly convergent to the continuous solution with respect to the perturbation paramet...
متن کاملA 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 کاملParameter-uniform Fitted Operator B-spline Collocation Method for Self-adjoint Singularly Perturbed Two-point Boundary Value Problems
Under these conditions the operator L admits the maximum principle [1]. These types of problems, in which a small parameter multiplies the highest derivative, are known as singular perturbation problems. They arise in the mathematical modeling of physical and chemical processes, for instance, reaction diffusion processes, chemical reactor theory, fluid mechanics, quantum mechanics, fluid dynami...
متن کاملFitted mesh numerical method for singularly perturbed delay differential turning point problems exhibiting boundary layers
Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opin...
متن کاملA New Method for Solving Singularly Perturbed Boundary Value Problems
In this paper, a new initial value method for solving a class of nonlinear singularly perturbed boundary value problems with a boundary layer at one end is proposed. The method is designed for the practicing engineer or applied mathematician who needs a practical tool for these problems (easy to use, modest problem preparation and ready computer implementation). Using singular perturbation anal...
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: International Journal of Differential Equations
سال: 2020
ISSN: 1687-9643,1687-9651
DOI: 10.1155/2020/9268181