FINITE-DIFFERENCE SCHEME FOR FRACTAL OSCILLATOR WITH A VARIABLE FRACTIONAL ORDER

Abstract

The paper deals with the explicit finite difference schemes for the fractional oscillator. The questions of approximation, stability and convergence of these schemes.

Authors and Affiliations

Roman Parovik

Keywords

Related Articles

NUMERICAL SOLUTION FOR FRACTIONAL HALLER EQUATION

Solution of boundary value problems for the Haller equation in differential and difference settings are studied. By the method energy inequalities, a priori estimates are obtained for the solution of the differential pro...

CHARTS STRUTT-INCE FOR GENERALIZED MATHIEU EQUATION

We have investigated the solution of the generalized Mathieu equation. With the aid of diagrams Stratton-Ince built the instability region, the condition can occur when the parametric resonance.

APPLICATION OF THE METHOD OF LINES FOR SOLVING ONE-DIMENSIONAL EQUATION OF PARABOLIC TYPE UNDER THE BOUBDARY CONDITIONS OF THE SECOND AND FIRS GENERA

In the article an algorithm for solving a one-dimensional inhomogeneous parabolic equation is described under boundary conditions of the second kind at the beginning and of the first kind at the end of the interval. By i...

BUILDING A STRAIGHT LINE PERPENDICULAR TO A GIVEN LINE

The paper deals with the problem of constructing a straight line perpendicular to a given line, and on constructing a line perpendicular to a given plane, as a rule, reduce to constructing the height of some triangle. In...

APPLICATION OF CONTINUOUS LOGIC FOR DETERMINING EMISSION LIMITS

In this paper, we propose a method of applying continuous logic to identify data ejections in order to eliminate noise and erroneous values.

Download PDF file
  • EP ID EP486507
  • DOI 10.18454/2079-6641-2015-11-2-88-95
  • Views 100
  • Downloads 0

How To Cite

Roman Parovik (2015). FINITE-DIFFERENCE SCHEME FOR FRACTAL OSCILLATOR WITH A VARIABLE FRACTIONAL ORDER. Вестник КРАУНЦ. Физико-математические науки, 2(), 88-95. https://europub.co.uk/articles/-A-486507