A note on the numerical solution of the one-line model

作者：Zacharioudaki Anna^*; Reeve Dominic E

来源：Environmental Modelling & Software, 2010, 25(6): 802-807.

DOI：10.1016/j.envsoft.2009.11.015

• One-line model
• Numerical solutions
• Finite differences
• Method of lines
• Computational efficiency

Both explicit and implicit time-stepping finite difference schemes are well-known techniques for the numerical solution of the 'one-line' model for shoreline change. The former scheme, although fast and simple, is prone to instability. The latter is unconditionally stable, but is slower, significantly more complicated to program, and its accuracy decreases with increasing time step. Here, a technique known as the "method of lines" is used to solve the 'one-line' model. The advantages of using this method include: (1) unconditionally stable solutions, (2) accuracy that does not depend on a user-specified computation time step, and (3) simple and flexible coding. By using the method of lines procedure described in this paper, one can readily generate an efficient and adaptable 'one-line' numerical model for use in integrated coastal management.

• 出版日期2010-6