A Tau Approach for Solving Time-Fractional Heat Equation Based on the Shifted Sixth-Kind Chebyshev Polynomials

The time-fractional heat equation governed by nonlocal conditions is solved using a novel method developed in this study, which based on the spectral tau method. There are two sets of basis functions used. first set non-symmetric polynomials, namely, shifted Chebyshev polynomials sixth-kind (CPs6), and second modified CPs6. approximation solution written as product chosen function sets. For method, key concept to transform problem underlying into linear algebraic equations that can be means an appropriate numerical scheme. error analysis proposed extension also thoroughly investigated. Finally, number examples shown illustrate reliability accuracy suggested