Research Article

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

Figure 10

Evolution of the number of iterations () for each increment () obtained with the new iterative numerical continuation algorithm (see (26)–(30) with ) 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).