Bu çalışmada, singüler pertürbe Volterra integro-diferansiyel denklemlerin yaklaşık çözümü için nümerik integrasyon yöntemi uygulanır. İlk olarak düzgün bir şebeke üzerinde sonlu fark metodu ile başlanır daha sonra integraller trapez kullanılır. Buradan elde edilen denklem sistemi Thomas algoritması çözülür. Önerilen yöntemin doğruluğunu ve ekonomikliğini ortaya koyan örnek sunulur.

A class of singularly perturbed two point boundary value problems (BVPs) for third order ordinary differential equations is considered. The BVP is reduced to a weakly coupled system of one first order Ordinary Differential Equation (ODE) with a suitable initial condition and one second order singularly perturbed ODE subject to boundary conditions. In order to solve this system, a computational ...

REPORTRAPPORT Discrete approximations for singularly perturbed boundary value problems with parabolic layers Abstract Singularly perturbed boundary value problems for equations of elliptic and parabolic type are studied. For small values of the perturbation parameter, parabolic boundary layers appear in these problems. If classical discretisation methods are used, the solution of the nite diier...

This paper examines the problem of designing an H∞ output feedback controller for a class of nonlinear singularly perturbed systems described by a TakagiSugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop an H∞ output feedback controller which guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some pre...

In this paper, we proposed a numerical integration method for the solution of singularly perturbed delay differential equation with dual layer behaviour. In this method, an asymptotically equivalent first order neutral type delay differential equation is obtained from the second order singularly perturbed delay differential equation and employed Trapezoidal rule on it. Then, linear interpolatio...