A New Trigonometrically Fitted Two-Derivative Runge-Kutta Method for the Numerical Solution of the  Schrödinger Equation and Related Problems

<table>Efficiency curves for Problem <a href="https://static.hindawi.com/articles/jam/volume-2013/937858/figures/#problem1">1</a>:<svg height="11.425" id="M71" style="vertical-align:-0.20474pt" version="1.1" viewbox="0 0 113.2625 11.425" width="113.2625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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l14 20.5t15 23.5t13.5 21.5l29 -10q-52 -129 -71 -163h-500l6 28q66 4 83 17.5t28 73.5l77 409q11 61 -0.5 75.5t-78.5 18.5l10 28h467z" id="x1D438"></path></g><g transform="matrix(.017,-0,0,-.017,21.177,11.112)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g><g transform="matrix(.017,-0,0,-.017,35.881,11.112)"><path d="M244 635q90 0 143 -72t53 -177q0 -133 -65 -229.5t-171 -139.5q-79 -32 -140 -32l-5 30q109 18 185 91t101 186l-68 -36q-29 -16 -60 -16q-79 0 -129 51.5t-50 130.5q0 80 57 146.5t149 66.5zM228 602q-52 0 -78 -45.5t-26 -98.5q0 -69 36.5 -115.5t97.5 -46.5
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Journal of Applied Mathematics

fig5

Figure 5

Figure 5: A New Trigonometrically Fitted Two-Derivative Runge-Kutta Method for the Numerical Solution of the  Schrödinger Equation and Related Problems 

Figure 5 | A New Trigonometrically Fitted Two-Derivative Runge-Kutta Method for the Numerical Solution of the  Schrödinger Equation and Related Problems 