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Solving Time-Space Fractional Boussinesq Equation Using Homotopy Perturbation Method

Author

Listed:
  • Meenakshi Dhumal

    (Deogiri College, India)

  • Bhausaheb Sontakke

    (Pratishthan College, India)

  • Jagdish Sonawane

    (GES R. H. Sapat College of Engineering, Management Studies and Research, India)

Abstract

This paper aims to implement the homotopy perturbation technique to solve the time-space fractional Boussinesq equation, a significant model in the analysis of nonlinear wave propagation. Through the application of the homotopy perturbation technique, we derive analytical expressions for the solutions of the time-space fractional Boussinesq equation and validate these solutions through comparisons with numerical methods. Obtained results demonstrate the efficiency and accuracy of the homotopy perturbation method in solving the time-space fractional Boussinesq equation.

Suggested Citation

Handle: RePEc:epw:ejmath:v:5:y:2024:i:6:id:14377
DOI: 10.24018/ejmath.2024.5.6.377
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