On oscillation of numerical solution of a modified Richards' Equation
作者:
N. Krishnamurthi,
D. K. Sunada,
R. A. Longenbaugh,
期刊:
Water Resources Research
(WILEY Available online 1978)
卷期:
Volume 14,
issue 1
页码: 52-54
ISSN:0043-1397
年代: 1978
DOI:10.1029/WR014i001p00052
数据来源: WILEY
摘要:
Numerical solutions of differential equations should be checked for the conditions of consistency, convergence, and stability. The implicit solutions that satisfy these conditions are sometimes found to be oscillatory about the true solutions. The reasons for these oscillations are explained. A method to derive criteria for nonoscillatory solutions of a nonlinear partial differential equation is outlined. These criteria for modified Richards' equation are presented, and their physical significances are explained.
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