Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems

<table>The efficiency curves for SIHM3<svg height="15.0875" id="M198" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 20.049999 15.0875" width="20.049999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> and SIHM4<svg height="15.0875" id="M199" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 20.049999 15.0875" width="20.049999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> methods for Allen and Wing problem with <svg height="18.85" id="M200" style="vertical-align:-2.22495pt" version="1.1" viewbox="0 0 166.52499 18.85" width="166.52499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,79.938,7.85)"><path d="M244 607q0 -25 -15.5 -43t-37.5 -18q-19 0 -32 13t-13 35q0 21 15 41t39 20q20 0 32 -14t12 -34zM222 91q-29 -33 -79 -68t-75 -35q-13 0 -19 7.5t-6 31t10 65.5l62 253q5 26 -1 26q-21 0 -72 -43l-13 24q43 40 91 68t71 28q30 0 10 -78l-71 -274q-8 -30 3 -30
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</svg>.</table>

Abstract and Applied Analysis

fig14

Figure 14

Figure 14: Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems 