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Solving Time-Space Fractional Boussinesq Equation Using Homotopy Perturbation Method

Author

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  • Meenakshi Dhumal
  • Bhausaheb Sontakke
  • Jagdish Sonawane

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

  • Meenakshi Dhumal & Bhausaheb Sontakke & Jagdish Sonawane, 2024. "Solving Time-Space Fractional Boussinesq Equation Using Homotopy Perturbation Method," European Journal of Mathematics and Statistics, European Open Science, vol. 5(6), pages 1-6, October.
    • Handle: RePEc:epw:ejmath:v:5:y:2024:i:6:id:14377
    DOI: 10.24018/ejmath.2024.5.6.377
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