A Nonlinear Shooting Method and Its Application to Nonlinear Rayleigh-Bénard Convection

<table>The numerical solution <svg height="10.0125" id="M246" style="vertical-align:-0.47652pt" version="1.1" viewbox="0 0 11.225 10.0125" width="11.225" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.625,9.338)"><path d="M343 464q0 -19 -15.5 -34t-34.5 -15q-20 0 -34.5 14.5t-14.5 34.5q0 21 14.5 35t34.5 14q19 0 34.5 -14.5t15.5 -34.5zM535 230h-180l173 -176l-36 -38l-198 201l-198 -201l-36 38l173 176h-181v50h180l-172 175l36 38l198 -202l198 202l36 -38l-172 -175h179v-50z
M343 46q0 -19 -15.5 -34t-34.5 -15q-20 0 -34.5 14.5t-14.5 34.5q0 21 14.5 35t34.5 14q19 0 34.5 -14.5t15.5 -34.5z" id="x22C7"></path></g>
</svg> versus the actual solution of the BVP of Example <a href="https://static.hindawi.com/articles/isrn/volume-2013/650208/figures/#ex1">10</a>.</table>

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Figure 1

Figure 1: A Nonlinear Shooting Method and Its Application to Nonlinear Rayleigh-Bénard Convection 