✦ LIBER ✦
Least-squared error polynomial approximation method for solving certain nonlinear differential equations characterizing some electric circuits and other nonlinear physical systems
✍ Scribed by R.M. Garde
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 494 KB
- Volume
- 290
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
✦ Synopsis
A method of solving certain differential equations governing forced and free oscillations is proposed. The nonlinear differential equation governing such oscillations is linearized with the help of the Begenbauer polynomial approximation, and a one-term solution corresponding to the fundamental frequency is obtained. A correction term corresponding to the third harmonic is then found by applying the principle of least-squared error. The metlbod is applied to the analysis of a series circuit containing a nonlinear capacitor.