Solving Time-Space Fractional Boussinesq Equation Using Homotopy Perturbation Method

Meenakshi Dhumal, Bhausaheb Sontakke and Jagdish Sonawane
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Meenakshi Dhumal: Deogiri College, India
Bhausaheb Sontakke: Pratishthan College, India
Jagdish Sonawane: GES R. H. Sapat College of Engineering, Management Studies and Research, India

European Journal of Mathematics and Statistics, 2024, vol. 5, issue 6, 1-6

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.

Keywords: Fractional calculus; homotopy perturbation method; nonlinear wave propagation; time-space fractional Boussinesq equation (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:5:y:2024:i:6:id:14377

DOI: 10.24018/ejmath.2024.5.6.377

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