Magistracy Department of Donetsk National Technical University

Computer science faculty

Department of applied mathematics and informatics

Abstract of Thesis

Introduction

Matrix-vector operation (MVO)

MVO characteristics

Runge-Kutta method

Ordinary differential equations (ODE)

ODE Iterative solving method

Acceleration via Newton method

ODE systems solving

Conclusions

Literature

Automated systems software specialty

Abstract of Thesis

"Parallel computational methods of Cauchy problem solving for the ordinary differential equation systems"

Russian version

5 ITERATIVE ALGORITHM OF THE CAUCHY PROBLEM SOLVING FOR THE ODE

The iterations quantity of a method is fixed and is equal to k, without taking into account a preliminary step. Iterative process is defined by formulas (5.1) and (5.2) for a preliminary step and the basic iterations respectively [5].

Formula 5.1 (5.1)

Formula 5.2 (5.2)

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