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

Figure 15

Evolution of the approximate solutions () obtained with the new iterative numerical continuation algorithm (see (26)–(30) with ) and compared with the exact solution (black solid line) for Example 2 with the following parameters: (i) , , and (blue solid line with circles); (ii) , , and (green solid line with squares); (iii) , , and (magenta solid line with diamonds); (iv) , , and (red solid line with upward-pointing triangles); (v) , , and (cyan solid line with downward-pointing triangles).