Discretizations of nonlinear differential equations using explicit finite order methods

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:90

Article

Chen, B ; Solis, F

关键词: Runge-Kutta schemes;    spurious solutions;   

DOI  :  10.1016/S0377-0427(98)00017-X

来源: Elsevier

【 摘 要 】

In this work we study the appearance of spurious solutions when first-order differential equations with unimodal right-hand sides are discretized using Runge-Kutta schemes. These spurious solutions are explained in terms of the iteration functions. Schemes that produce good approximating solutions for much longer times are given. (C) 1998 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free