A NUMERICAL SOLUTION OF A FRACTIONAL OSCILLATOR EQUATION IN A NON-RESISTING MEDIUM WITH NATURAL BOUNDARY CONDITIONS

作者：Blaszczyk Tomasz^*

来源：Romanian Reports in Physics, 2015, 67(2): 350-358.

• Fractional Euler-Lagrange equation
• Fractional oscillator equation
• Numerical solution
• Natural boundary conditions

In this paper we propose a numerical solution of a fractional oscillator equation with natural boundary conditions. A numerical scheme is presented to solve these equations. In the final part of this paper, examples of numerical solutions of this equation are shown. We also determine the convergence order of numerical schemes.

• 出版日期2015