Optimized Hybrid Methods for Solving Oscillatory Second Order Initial Value Problems

<div>The efficiency curves of the optimized order six method and their comparisons for Problem <a href="https://static.hindawi.com/articles/ddns/volume-2015/217578/figures/#problem7">8</a> with <svg height="15.4868pt" id="M115" style="vertical-align:-3.4087pt" version="1.1" viewbox="-0.0498162 -12.0781 53.1495 15.4868" width="53.1495pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 59C126 59 120 70 131 125L186 390L298 394L324 430Z" id="g113-117"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="341" vert-adv-y="341"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,4.552,3.264)"><path d="M380 106C343 72 306 56 265 56C195 56 116 112 115 248C235 252 361 262 377 265C396 269 400 277 400 297C400 374 333 449 250 449H249C198 449 144 421 103 376S37 269 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Discrete Dynamics in Nature and Society

fig14

Figure 14

Figure 14: Optimized Hybrid Methods for Solving Oscillatory Second Order Initial Value Problems 