Research Article

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

Figure 21

Evolution of the approximate solutions of first-order partial derivatives associated with the displacement () and the mechanical load () obtained with the new iterative numerical continuation algorithm (cyan line; see (26)–(30) with ) 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).