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<p>This study presents a novel low-order strategy for the Adams–Bashforth–Moulton predictor–corrector. The functions <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\left[ 1, \, e^{I\, v \, x}, \, x\, e^{I\, v \, x} \right] \)</EquationSource> </InlineEquation> can be linearly merged utilizing this novel approach. The stability zones for the novel approach have been delineated. The challenging Schrödinger-type coupled differential equations problem was addressed in quantum chemistry using this novel method.</p>

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A new predictor–corrector algorithm for the solution of the Schrödinger equation and related problems

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Chia-Liang Lin,
  • Theodore E. Simos

摘要

This study presents a novel low-order strategy for the Adams–Bashforth–Moulton predictor–corrector. The functions \(\left[ 1, \, e^{I\, v \, x}, \, x\, e^{I\, v \, x} \right] \) can be linearly merged utilizing this novel approach. The stability zones for the novel approach have been delineated. The challenging Schrödinger-type coupled differential equations problem was addressed in quantum chemistry using this novel method.