Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag

<table>Behaviour of the coefficients of the new proposed method given by (<a href="https://static.hindawi.com/articles/jam/volume-2012/420387/figures/#EEq11">3.5</a>) for several values of <svg height="10.975" id="M52" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 52.8125 10.975" width="52.8125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.975)">
<g transform="translate(72,-63.22)">
<text transform="matrix(1,0,0,-1,-71.95,63.41)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐻</tspan>
<tspan style="font-size: 12.50px; " x="14.37845" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="26.418839" y="0">𝜔</tspan>
<tspan style="font-size: 12.50px; " x="34.93338" y="0">ℎ</tspan>
</text>
</g>
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</svg>.</table>

Journal of Applied Mathematics

fig1

Figure 1

Figure 1: Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag 