Combining Legendre's Polynomials and Genetic Algorithm in the Solution of Nonlinear Initial-Value Problems

<table>A third-order nonlinear equation without analytic solution: comparing residues in ode 113 and <svg height="12.02875" id="M193" style="vertical-align:-0.17554pt" version="1.1" viewbox="0 0 26.42375 12.02875" width="26.42375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.02875)">
<text transform="matrix(1,0,0,-1,0.498,0.673)">
<tspan style="font-size: 12.50px; " x="0" y="0">S</tspan>
<tspan style="font-size: 12.50px; " x="6.9517345" y="0">I</tspan>
<tspan style="font-size: 12.50px; " x="11.115273" y="0">V</tspan>
</text>
</g>
</svg>.</table>

Mathematical Problems in Engineering

fig8

Figure 8

Figure 8: Combining Legendre's Polynomials and Genetic Algorithm in the Solution of Nonlinear Initial-Value Problems 