4 An Alternative Method

Figure 11 shows the right hand side function and its approximation, and Figure 12 shows an approximate particular solution together with the exact solution of the IVP.
4 An Alternative Method
4.1 Method of Superposition
In this section, we use the idea of paper [13] to solve our 1-D problem. We want to be able to find a particular solution for Eq. (1). Assume that has the Chebyshev polynomial approximation given by and (8), i.e.,