A compact difference scheme for a partial integro-differential equation with a weakly singular kernel

作者：Luo, Man^*; Xu, Da; Li, Limei

来源：Applied Mathematical Modelling, 2015, 39(2): 947-954.

DOI：10.1016/j.apm.2014.07.014

• Integro-differential equation
• Singular weakly kernel
• Compact difference scheme
• Product trapezoidal method

A compact difference scheme is presented for a partial integro-differential equation. The integral term is treated by means of the product trapezoidal method. The stability and 1,2 convergence are proved by the energy method. The convergence order is O(k(3/2)+ h(4)). Two numerical examples are given to support the theoretical results.

• 出版日期2015-1-15
• 单位湖南理工学院; 湖南师范大学