A New Iterative Numerical Continuation Technique for Approximating the Solutions of Scalar Nonlinear Equations

Figure 27

Evolution of the approximate solutions () obtained with the new iterative numerical continuation algorithm (red line; see (26)–(30) with ) and compared with the exact solution (black solid line) for Example 3 with the parameters and and for different values of the parameter : (i) (red solid line with upward-pointing triangles); (ii) (red dotted line with pentagrams); (iii) (red dash-dot line with plus signs); (iv) (red dashed line with crosses).