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

Figure 13

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 (blue line; see (26)–(30) with ) 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).