TY - JOUR TI - Application of local meshless method for the solution of two term time fractional-order multi-dimensional PDE arising in heat and mass transfer AU - Ahmad Imtiaz AU - Ahmad Hijaz AU - Inc Mustafa AU - Yao Shao-Wen AU - Almohsen Bandar JN - Thermal Science PY - 2020 VL - 24 IS - 11 SP - 95 EP - 105 PT - Article AB - In this article, we presented an efficient local meshless method for the numerical treatment of two term time fractional-order multi-dimensional diffusion PDE. The demand of meshless techniques increment because of its meshless nature and simplicity of usage in higher dimensions. This technique approximates the soluĀ­tion on set of uniform and scattered nodes. The space derivatives of the models are discretized by the proposed meshless procedure though the time fractional part is discretized by Liouville-Caputo fractional derivative. The numerical reĀ­sults are obtained for 1-, 2- and 3-D cases on rectangular and non-rectangular computational domains which verify the validity, efficiency and accuracy of the method.