An effective pure meshfree method for 1D/2D time fractional convection-diffusion problems on irregular geometry

• Published in: Engineering analysis with boundary elements Vol. 118; pp. 265 - 276
• Main Authors: Jiang, Tao, Wang, Xing-Chi, Huang, Jin-Jing, Ren, Jin-Lian
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2020
• Subjects: Caputo time fractional derivative; Convection-diffusion; CSPH; FDM; Non-regular geometry; Convection-diffusion; Caputo time fractional derivative; Non-regular geometry; FDM; CSPH

•An effective pure meshfree method is first developed to solve the 1D/2D constant/variable-order time fractional convection-diffusion equation (TF-CDE).•The numerical convergence rate of the proposed CSPH-FDM for TF-CDE is demonstrated by several examples.•The non-uniform particle distributions on r...