On the solution of the Riccati equation by the Taylor matrix method

2006 ◽  
Vol 176 (2) ◽  
pp. 414-421 ◽  
Author(s):  
Mustafa Gülsu ◽  
Mehmet Sezer
Keyword(s):  
Riccati Equation ◽  
Matrix Method

Numerical solution of Riccati equation using operational matrix method with Chebyshev polynomials

2015 ◽  
Vol 08 (02) ◽  
pp. 1550020
Author(s):  
Yalçın Öztürk ◽  
Mustafa Gülsu
Keyword(s):  
Approximate Solution ◽  
Riccati Equation ◽  
Chebyshev Polynomials ◽  
Matrix Method ◽  
Numerical Technique ◽  
Operational Matrix ◽  
Algebraic Equations ◽  
Chebyshev Series ◽  
Numerical Examples ◽  
Operational Matrix Method

In this paper, we present numerical technique for solving the Riccati equation by using operational matrix method with Chebyshev polynomials. The method consists of expanding the required approximate solution as truncated Chebyshev series. Using operational matrix method, we reduce the problem to a set of algebraic equations. Some numerical examples are given to demonstrate the validity and applicability of the method. The method is easy to implement and produces very accurate results.

ASSESSMENT OF TORRENTIAL FLOOD SUSCEPTIBILITY USING GIS MATRIX METHOD: CASE STUDY - VRBAS RIVER BASIN (B&H)

2018 ◽  
Vol 13 (2) ◽  
pp. 369-382 ◽  
Author(s):  
Radislav TOŠIĆ ◽  
◽  
Novica LOVRIĆ ◽  
Slavoljub DRAGIĆEVIĆ ◽  
Sanja MANOJLOVIĆ
Keyword(s):  
River Basin ◽  
Matrix Method ◽  
Flood Susceptibility ◽  
Gis Matrix Method ◽  
Torrential Flood

Methods of increasing the competitiveness of the tourism industry (on the example of the republic of Сrimea)

2017 ◽  
Vol 30 (1) ◽  
pp. 47-54
Author(s):  
А. А. Yanovskaya
Keyword(s):  
Matrix Method ◽  
Tourism Industry ◽  
Tax Revenues ◽  
Tourism Sector ◽  
The Republic ◽  
The Competitiveness Of Enterprises ◽  
Sector Matrix

The article analyzes the tourism industry and its development in view of the various classification types of tourism. Comparative characteristics of tax revenues in the budget of the Republic of Crimea. The model of competitiveness of tourist field. Calculated the competitiveness of enterprises of the tourism sector matrix method.

scholarly journals Relativistic B-Spline R-Matrix Calculations for Electron Collisions with Ytterbium

Atoms ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 47
Author(s):  
Kathryn R. Hamilton ◽  
Klaus Bartschat ◽  
Oleg Zatsarinny
Keyword(s):  
Experimental Data ◽  
Electron Scattering ◽  
Cross Sections ◽  
Matrix Method ◽  
Model Potential ◽  
Electron Collisions ◽  
R Matrix ◽  
B Spline ◽  
Potential Approach

We have applied the full-relativistic Dirac B-Spline R-matrix method to obtain cross sections for electron scattering from ytterbium atoms. The results are compared with those obtained from a semi-relativistic (Breit-Pauli) model-potential approach and the few available experimental data.

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