The goal of this paper is focused on developing an efficient design strategy for simulating CNN arrays and hole-filling is implemented using RK step multistep methods to improve the performance of the image or handwritten character recognition. This approach is carried out by analyzing the important features of the hole-filler template and the dynamic process of CNN using well knownr RK step mu...

Penelitian ini bertujuan untuk menyelesaikan model SEIR penyebaran penyakit meningitis menggunakan metode Euler, Heun dan Runge-Kutta orde empat, dimana persamaannya berupa persamaan diferensial nonlinear. Metode penelitian yang digunakan adalah pemrograman komputer simulasi. Dari simulasi, ketiga tersebut menghasilkan penyelesaian dengan perilaku mirip, yaitu semua gambar grafik pada setiap si...

Among the most popular methods for the solution of the Initial Value Problem are the Runge–Kutta pairs of orders 5 and 4. These methods can be derived solving a system of nonlinear equations for its coefficients. For achieving this, we usually admit various simplifying assumptions. The most common of them are the so called row simplifying assumptions. Here we negligible them and present an algo...

Using a detailed multilevel analysis of the complete hp-Multigrid as Smoother algorithm accurate predictions are obtained of the spectral radius and operator norms of the multigrid error transformation operator. This multilevel analysis is used to optimize the coefficients in the semi-implicit Runge-Kutta smoother, such that the spectral radius of the multigrid error transformation operator is ...

where y(x) denotes the solution of the differential equation. The idea is to use a quadrature formula to estimate the integral of (1). This requires knowledge of the integrand at specified arguments x¿ in (xo, -To + h)—hence we require the values of y(x) at these arguments. A numerical integration method may be used to estimate y(x) for the required arguments. In this way a numerical integratio...