About testing of numerical methods for solving highly oscillatory ordinary differential equations

V. N. Biryukov, L. E. Gatko

Southern Federal University

 

The paper is received on September 17, 2015

 

Abstract. This paper exploits a concurrently stiff and highly oscillatory differential Duffing equation and discusses some numerical methods to solve it. The local error, the global error, and the error of solutions’ amplitude and period are examined.

Keywords: oscillating circuits, stiff differential equations, numerical methods, error analysis.