The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

Authors

Mass-conservative, finite difference, second-order accuracy in time, Sobolev equation

In this work, a new Mass-Conservative Characteristic Finite Difference

Method (MCC-FDM) is developed for solving the Sobolev equation. The new method

combines the method of characteristics with mass-preserving interpolation, which not

only keeps mass balance but also achieves second-order accuracy in both time and

space. Numerical results are presented to confirm the temporal and spatial accuracy

Kai Fu

School of Mathematical Sciences, Ocean University of China, Qingdao, Shandong 266100, China
Zhaohui Liu

College of Science, China University of Petroleum, Qingdao, Shandong 266580, China
Jiansong Zhang

College of Science, China University of Petroleum, Qingdao, Shandong 266580, China