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

Figure 7

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 1 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).