A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients

作者：Singh, Suruchi; Ito, Kazufumi; Singh, Swarn; Li, Zhilin^*

来源：Numerical Mathematics: Theory, Methods and Applications , 2018, 11(4): 782-794.

DOI：10.4208/nmtma.2018.s06

• Compact scheme
• cubic spline collocation procedure
• transport equation
• jump discontinuity
• discontinuous coefficients

This paper reports a compact fourth order accurate cubic spline collocation procedure for numerical solution of transport equation with discontinuous coefficients. The proposed scheme is shown to be stable. A new patch up technique is developed near the interface where the coefficient has jump discontinuity. A numerical experiment is given to confirm the accuracy and efficiency of the proposed scheme.

• 出版日期2018-11
• 单位新疆大学