| タイトル | Symbolic computation of recurrence equations for the Chebyshev series solution of linear ODE's |
| 著者（英） | Geddes, K. O. |
| 著者所属（英） | Waterloo Univ. Ontario |
| 発行日 | 1977-01-01 |
| 言語 | eng |
| 内容記述 | If a linear ordinary differential equation with polynomial coefficients is converted into integrated form then the formal substitution of a Chebyshev series leads to recurrence equations defining the Chebyshev coefficients of the solution function. An explicit formula is presented for the polynomial coefficients of the integrated form in terms of the polynomial coefficients of the differential form. The symmetries arising from multiplication and integration of Chebyshev polynomials are exploited in deriving a general recurrence equation from which can be derived all of the linear equations defining the Chebyshev coefficients. Procedures for deriving the general recurrence equation are specified in a precise algorithmic notation suitable for translation into any of the languages for symbolic computation. The method is algebraic and it can therefore be applied to differential equations containing indeterminates. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 77N28787 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/440616 |
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