<p>This study presents a novel low-order Adams–Bashforth–Moulton predictor–corrector algorithm. This new approach was able to incorporate any linear combination of the functions <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10910_2025_1748_Article_IEq1.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="112" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left[ 1, \, x, \, x^2, \, e^{I\, v \, x} \right] \)</EquationSource> </InlineEquation>. Stability zones are established for the novel approach. Using cases from chemistry and other fields, we test how well the recently suggested technique works.</p>

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Efficient low-order Adams–Bashforth–Moulton trigonometrically-fitted methods

  • Marina A. Medvedeva,
  • Theodore E. Simos

摘要

This study presents a novel low-order Adams–Bashforth–Moulton predictor–corrector algorithm. This new approach was able to incorporate any linear combination of the functions \(\left[ 1, \, x, \, x^2, \, e^{I\, v \, x} \right] \) . Stability zones are established for the novel approach. Using cases from chemistry and other fields, we test how well the recently suggested technique works.