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May 4, 2026Fractal and FractionalOpen Access

Numerical Solution for Gas Dynamics Equation Involving Caputo-Time Fractional Derivative Using a Family of Shifted Chebyshev Polynomials

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Authors

WAWaleed Mohamed Abd-ElhameedAAAhmed H. Al-MehmadiNANaher Mohammed A. Alsafri

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Overview

Randomized trial demonstrates a new numerical method for gas dynamics, highlighting improved accuracy and efficiency.

Key Points

  • The aim is to develop a numerical method for solving the time-fractional gas dynamics equation using Chebyshev polynomials.
  • Developed a numerical method based on Caputo fractional derivatives and Chebyshev polynomials.
  • Established analytical properties including expansion and operational matrices for derivatives.
  • Used a collocation strategy to convert the fractional model into nonlinear algebraic equations.
  • Numerical simulations indicate higher accuracy compared to existing methods.
  • Achieved faster execution in solving the time-fractional gas dynamics equation.

Cite This Study

Abd-Elhameed et al. (2026) studied this question.

synapsesocial.com/papers/69f836d93ed186a739980fffhttps://doi.org/10.3390/fractalfract10050299
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