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<p>The manuscript aims to presents a computationally efficient semi-analytical framework for modelling concentration profiles in fixed-bed catalytic reactors with electrochemical relevance, utilizing the Differential Transform Method (DTM). The governing system of nonlinear singular boundary value problems describing ethanol and acetaldehyde transformation processes in fixed bed catalytic reactor, poses significant challenges due to its coupled and nonlinear nature. DTM yields rapidly converging series solutions without the need for linearization, discretization, or iterative schemes by reformulating the equations into recursive relations. To demonstrate the predictive capability and accuracy of the suggested approach, a comparative study is done against numerical simulations and the Variational Iteration Method (VIM), showing excellent agreement. Residual error and convergence analysis guarantees the stability and accuracy of the DTM. The suggested semi analytical framework is not only computationally efficient but also offers new insights into mass transport and reaction mechanisms, making it a robust, promising tool for electrochemical reactor analysis, performance optimization, and design.</p>

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A semi-analytical differential transform approach for modeling concentration profiles in electrochemical fixed-bed catalysts

  • 期刊论文

  • 发表日期：

    2025年11月15日

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  • Mithilaba M. Chudasama,
  • Yogeshwari F. Patel,
  • Mohammad Izadi

摘要

The manuscript aims to presents a computationally efficient semi-analytical framework for modelling concentration profiles in fixed-bed catalytic reactors with electrochemical relevance, utilizing the Differential Transform Method (DTM). The governing system of nonlinear singular boundary value problems describing ethanol and acetaldehyde transformation processes in fixed bed catalytic reactor, poses significant challenges due to its coupled and nonlinear nature. DTM yields rapidly converging series solutions without the need for linearization, discretization, or iterative schemes by reformulating the equations into recursive relations. To demonstrate the predictive capability and accuracy of the suggested approach, a comparative study is done against numerical simulations and the Variational Iteration Method (VIM), showing excellent agreement. Residual error and convergence analysis guarantees the stability and accuracy of the DTM. The suggested semi analytical framework is not only computationally efficient but also offers new insights into mass transport and reaction mechanisms, making it a robust, promising tool for electrochemical reactor analysis, performance optimization, and design.