Spectral Collocation Technique for Solving Two-Dimensional Multi-Term Time Fractional Viscoelastic Non-Newtonian Fluid Model

Applications of non-Newtonian fluids have been widespread across industries, accompanied by theoretical developments in engineering and mathematics. This paper studies a two-dimensional multi-term time fractional viscoelastic fluid model using two autonomous consecutive spectral collocation strategies. A modification the approach is implemented, leading to an algebraic system equations able obtain approximate symmetric solution for model. Numerical examples illustrate effectiveness technique terms accuracy convergence.