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

Figure 11

Evolution of the approximate solutions () obtained with the new iterative numerical continuation algorithm (blue line; see (26)–(30) with ) and compared with the exact solution (black solid line) for Example 1 with the parameters and and for different values of the parameter : (i) (blue solid line with upward-pointing triangles); (ii) (blue dotted line with pentagrams); (iii) (blue dash-dot line with plus signs); (iv) (blue dashed line with crosses).