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In this research, we investigate the fractional nonlinear convection–diffusion model with the Caputo derivative. The homotopy perturbation transform technique is used to simulate the fractional convection–diffusion model. The error analysis of the presented method is also provided. Lastly, the efficiency of the presented technique is demonstrated by simulating two examples, the results are given in tables and graphs.

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Analysis and Simulation of Fractional Nonlinear Convection–Diffusion Model with Caputo Derivative

  • 会议论文

  • 发表日期：

    2025年

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  • Lalit Mohan,
  • Amit Prakash

摘要

In this research, we investigate the fractional nonlinear convection–diffusion model with the Caputo derivative. The homotopy perturbation transform technique is used to simulate the fractional convection–diffusion model. The error analysis of the presented method is also provided. Lastly, the efficiency of the presented technique is demonstrated by simulating two examples, the results are given in tables and graphs.