TY - JOUR
TI - Stochastic model for multi-term time-fractional diffusion equations with noise
AU - Hosseini Vahid Reza
AU - Remazani Mohamad
AU - Zou Wennan
AU - Banihashemii Seddigheh
JN - Thermal Science
PY - 2021
VL - 25
IS - 102
SP - 287
EP - 293
PT - Article
AB - This paper studies a spectral collocation approach for evaluating the numerical solution of the stochastic multi-term time-fractional diffusion equations associated with noisy data driven by Brownian motion. This model describes the symmetry breaking in molecular vibrations. The numerical solution of the stochastic multi-term time-fractional diffusion equations is proposed by means of collocation points method based on sixth-kind Chebyshev polynomial approach. For this purpose, the problem under consideration is reduced to a system of linear algebraic equations. Two examples highlight the robustness and accuracy of the proposed numerical approach.