Determination of the curves of constant breadth according to Bishop Frame in Euclidean 3-space

In this paper, for the approximate solutions of the linear differential equation system with variable coefficients in normal form characterizing curves of constant breadth according to Bishop frame in Euclidean 3-space, it is used a collocation method based on Taylor polynomials and therefore the curves of constant breadth are determined. In addition, an error analysis based on residual function is given for the method. Also, to demonstrate the efficiency of the method, an example is given with the help of computer programmes written in Maple and Matlab.