Asymptotic Convergence of the Solution of a Singularly Perturbed Integro-Differential Boundary Value Problem
نویسندگان
چکیده
منابع مشابه
A Boundary Value Problem for a Singularly Perturbed Differential Equation
has a solution «=g(x) for O^x^Xo with g(0)=a and u = h(x) tor xo^x^l with h(l)=b where g(x0)=h(x0). It will be assumed that g'(xo)*h'(xo). The case of (1) with f=l — (y')t and where \a — b\ <1 can be treated explicitly. For small e>0 the solution of (1) tends to the broken line solution of (2) with g(x)=a — x and h = b — 1+x and Xo = (l+a—b)/2. (There is another broken line solution of (2) with...
متن کاملNumerical solution of a singularly perturbed Volterra integro-differential equation
*Correspondence: [email protected] Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, 65080, Turkey Abstract We study the convergence properties of a difference scheme for singularly perturbed Volterra integro-differential equations on a graded mesh. We show that the scheme is first-order convergent in the discrete maximum norm, independently of the perturbation parame...
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 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 کاملSolution of a Fourth Order Singularly Perturbed Boundary Value Problem Using Quintic Spline
Singularly perturbed boundary value problem can be solved using various techniques. The solution of the following fourth order self adjoint singularly perturbed boundary value problem is approximated using quintic spline Ly = − y(4) + p(x)y = f(x), p(x) ≥ p > 0, y(a) = α0, y(b) = α1, y(1)(a) = α2, y(1)(b) = α3, } or Ly = − y(4) + p(x)y = f(x), p(x) ≥ p > 0, y(a) = α0, y(b) = α1, y(2)(a) = α4, y...
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: Mathematics
سال: 2020
ISSN: 2227-7390
DOI: 10.3390/math8020213