A high order WENO scheme for a hierarchical size-structured population model

作者：Shen Jun; Shu Chi Wang^*; Zhang Mengping

来源：Journal of Scientific Computing, 2007, 33(3): 279-291.

DOI：10.1007/s10915-007-9152-x

• hierarchical size-structured population model
• WENO scheme
• high order accuracy

In this paper we develop a high order explicit finite difference weighted essentially non-oscillatory (WENO) scheme for solving a hierarchical size-structured population model with nonlinear growth, mortality and reproduction rates. The main technical complication is the existence of global terms in the coefficient and boundary condition for this model. We carefully design approximations to these global terms and boundary conditions to ensure high order accuracy. Comparing with the first order monotone and second order total variation bounded schemes for the same model, the high order WENO scheme is more efficient and can produce accurate results with far fewer grid points. Numerical examples including one in computational biology for the evolution of the population of Gambussia affinis, are presented to illustrate the good performance of the high order WENO scheme.

• 出版日期2007-12
• 单位中国科学技术大学