Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations

摘要

The main purpose of this work is to present an impressive numerical scheme to solve two-dimensional multi-term time fractional mixed diffusion-wave differential equations (TFMDWE). The proposed method is based on the compact dual reciprocity method and the meshless improved singular boundary method (ISBM). The most significant privilege of the proposed method is mathematically simple, efficient, quite accurate which requires relatively less computational cost. Singular boundary method is one of truly meshless methods and it does not need any element or mesh for both field interpolation and background integration. For the considered problems, time derivatives are approximated via the time stepping method. Several numerical results are provided to show the accuracy of the present method for multi-term time-fractional mixed diffusion-wave equations. (C) 2019 Elsevier Ltd. All rights reserved.