A meshless method based on Point Interpolation Method (PIM) for the space fractional diffusion equation

作者：Liu, Q.; Liu, F.^*; Gu, Y. T.; Zhuang, P.; Chen, J.; Turner, I.

来源：Applied Mathematics and Computation, 2015, 256: 930-938.

DOI：10.1016/j.amc.2015.01.092

• Fractional diffusion equation
• Meshless approach
• Point interpolation method
• Numerical simulation

This paper aims to develop a meshless approach based on the Point Interpolation Method (PIM) for numerical simulation of a space fractional diffusion equation. Two fully-discrete schemes for the one-dimensional space fractional diffusion equation are obtained by using the PIM and the strong-forms of the space diffusion equation. Numerical examples with different nodal distributions are studied to validate and investigate the accuracy and efficiency of the newly developed meshless approach.

• 出版日期2015-4-1
• 单位集美大学; 厦门大学