利用鑽石法則與 Mathematica 軟體討論繩波

Abstract

本論文以一維波動方程式作為切入點，探討目前的三種方法—映像法、Fourier 級數法、Diamond rule。藉由實例，闡述三種方法間的關係，再利用 Mathematica軟體的動畫功能，將各方法所推算出的理論結果以動畫呈現，建構理論模型。 This paper treats three ways, such as Image method, Fourier series method and Diamond rule, to solve the one-dimensional wave equation. By some examples, elaborate the relations of three kinds of methods. Then to make use of the animation function of the Mathematica software, present with the animation the result that every method reckons, construct the theories model.