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

Figure 19

Evolution of the approximate solutions () obtained with the new iterative numerical continuation algorithm (cyan line; see (26)–(30) with ) and compared with the exact solution (black solid line) for Example 2 with the parameters and and for different values of the parameter : (i) (cyan solid line with downward-pointing triangles); (ii) (cyan dotted line with pentagrams); (iii) (cyan dash-dot line with plus signs); (iv) (cyan dashed line with crosses).