Applications of Orthogonal Polynomials in Simulations of Mass Transfer Diffusion Equation Arising in Food Engineering

In this paper, Chebyshev polynomials—which are ultraspherical in the first and second kind hence symmetric, while third fourth order not non-symmetric—are used for simulation of two-dimensional mass transfer equation arising during convective air drying processes food products subject to Robin Neumann boundary conditions. These simulations improve quality dried prediction moisture distributions. The is discretized both temporal special variables by using finite difference scheme spectral method based on polynomial with help fast Fourier transform tensor product grid, respectively. A system algebraic equations obtained after applying proposed numerical scheme, which then solved an appropriate iterative method. error analysis provided. Some examples presented confirm efficiency theoretical justification scheme. Our has exponential rate convergence, means that one can achieve a very accurate solution few collocation points, as opposed other available techniques slow terms convergence consume lot time. further validate accuracy our method, comparison made exact different norms.