We apply a general algebraic operational method to obtain solutions of ordinary differential equations. The solutions are expressed as series of scaled Hermite polynomials. We present some examples that show that the solutions obtained as truncated Hermite series give acceptable approximations to the exact solutions on intervals larger than the corresponding intervals for the solutions obtained as truncated Taylor series. Our method is algebraic and does not use any integral transforms.
|Number of pages||15|
|Publication status||Published - 1 Jan 2018|
- Operational calculus
- Ordinary differential equations
- Series of Hermite polynomials