On the application of different numerical methods

Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation

In the present article, a numerical method is proposed for the numerical solution of the KdV equation by using a new approach by combining cubic B-spline functions. In this paper we convert the KdV equation to system of two equations. The method is shown to be unconditionally stable using von-Neumann technique. To test accuracy the error norms L2, L∞ are computed. Three invariants of motion are...

Some properties of band matrix and its application to the numerical solution one-dimensional Bratu's problem

A Class of new methods based on a septic non-polynomial spline function for the numerical solution one-dimensional Bratu's problem are presented. The local truncation errors and the methods of order 2th, 4th, 6th, 8th, 10th, and 12th, are obtained. The inverse of some band matrixes are obtained which are required in proving the convergence analysis of the presented method. Associated boundary f...

The Application of Numerical Analysis Techniques to Pattern Recognition of Helicopters by Area Method

In this paper, a new method to selecting different viewing angles feature vector is introduced to recognition different types of Helicopters. Feature vector 32 components based on characteristics of the shape, Area and a length to describe a binary two-dimensional image was created, shape feature and length feature not only effective but area features effective and were used. New features vecto...

Dictionary of Abstract and Concrete Words of the Russian Language: A Methodology for Creation and Application

The paper describes the first stage of a project on creating an electronic dictionary with numerical estimates of the degree of abstractness and concreteness of Russian words. Our approach is to integrate data obtained from several different sources: text corpora, psycholinguistic experiments, published dictionaries, markers of abstractness (certain suffixes) and a translation of a similar dict...

Application of Numerical Methods in the Analysis of Mat Foundations and Limitations of Classical Methods

A Numerical Study on Geofoam Application in the Settlement Reduction of Railway Embankments

Construction of railway track embankment over a soft subgrade will bring the necessity of using soil improvement methods for bearing capacity and settlement criteria satisfaction. As a practical improvement method, railway embankment filled with geofoam blocks is studied in this paper. First; a bilinear stress-strain model developed in FLAC2D to simulate geofoam embankment behavioral model. Sec...