title: A second-order characteristic line scheme for solving a juvenile-adult model of amphibians.
abstract: In this paper, we develop a second-order characteristic line scheme for a nonlinear hierarchical juvenile-adult population model of amphibians. The idea of the scheme is not to follow the characteristics from the initial data, but for each time step to find the origins of the grid nodes at the previous time level. Numerical examples are presented to demonstrate the accuracy of the scheme and its capability to handle solutions with singularity.
authors.affiliation: a Department of Mathematics , University of Louisiana at Lafayette , Lafayette , LA 70504-1010 , USA.
authors.forename: Keng
authors.initials: K
authors.lastname: Deng
authors.forename: Yi
authors.initials: Y
authors.lastname: Wang
mesh_terms: D000375:Aging / Q000502:physiology*; D000663:Amphibians / Q000254:growth & development*; D000818:Animals; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D011157:Population Dynamics
keywords: age-structured juveniles; characteristic lines; numerical scheme; size-structured adults