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<p>We employ a novel technique, the Daftardar-Gejji and Jafari method with predictor–corrector (DGJMPC) that combines the Daftardar-Gejji and Jafari Method (DGJM) with the fractional trapezoidal method to solve the fractional Bloch model. We examined the convergence and stability analysis of the proposed technique using the Lipschitz condition and Gronwall’s inequality. We compare our results with the existing method and the exact solution. The numerical results for various fractional order derivatives are presented through figures and tables with the help of MATLAB software.</p>

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Analysis and simulation of the fractional Bloch model arising in nuclear magnetic resonance imaging and spectroscopy

  • 期刊论文

  • 发表日期：

    2025年6月12日

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  • Manoj Kumar,
  • Amit Prakash

摘要

We employ a novel technique, the Daftardar-Gejji and Jafari method with predictor–corrector (DGJMPC) that combines the Daftardar-Gejji and Jafari Method (DGJM) with the fractional trapezoidal method to solve the fractional Bloch model. We examined the convergence and stability analysis of the proposed technique using the Lipschitz condition and Gronwall’s inequality. We compare our results with the existing method and the exact solution. The numerical results for various fractional order derivatives are presented through figures and tables with the help of MATLAB software.