@article{oai:shobi-u.repo.nii.ac.jp:00000193, author = {戸川, 隼人 and TOGAWA, Hayato}, journal = {尚美学園大学芸術情報学部紀要, Bulletin of the Faculty of Informatics for Arts, Shobi University}, month = {Mar}, note = {常微分方程式の初期値問題を数値的に解くためのアルゴリズムは、加減乗除だけで構成するのが普通であるが、三角関数や指数関数を併用すれば新しい一群の公式を作ることができるであろう。その可能性について検討し、いくつかの公式を作り、テストしたので報告する。, This paper discusses a new type of numerical integration method for solving initial value problems of nonlinear differential equations. Conventional methods. such as Runge-Kutta method, are consisted by basic arithmetic operations, -addition, subtraction, multiplication and division. Basic idea of the new method is to utilize exponential functions and trigonometric functions. So, in the case of linear homogeneous differential equation with constant coefficients, the proposed method will give exact solution. Three actual computational schemes are proposed. Theoretical error analysis and numerical examples are shown., 6, KJ00002411901, 論文, Article}, pages = {1--8}, title = {指数関数を用いる数値積分公式の設計(情報表現学科)}, volume = {1}, year = {2002}, yomi = {トガワ, ハヤト} }