and Applied Analysis 3

We have seen that the accuracy of methods for computing integrals or derivatives of a function f(x) depends on the spacing between points at which f is evaluated, and that the approximation tends to the exact value as this spacing tends to 0. Suppose that a uniform spacing h is used. We denote by F (h) the approximation computed using the spacing h, from which it follows that the exact value is...

Abstract— There are several works dedicated to the investigation of Volterra integro-differential equations. In addition, there are theoretical and practical representations of stable methods that have a high order of accuracy and extended stability regions; these representations were constructed using the minimum values of arithmetic operations. Here, hybrid methods are proposed for the constr...

Abstract. The conventional method of mechanism control which requires physical contact is being replaced with remote control, especially the advent Internet things (IoT). Facial recognition used to identify and authenticate faces from images or videos. It has many applications, including granting restricting access a facility, secured areas, preventing unauthorized users, selective access. accu...