説明
<jats:p>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.</jats:p>
収録刊行物
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- Water Resources Research
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Water Resources Research 14 (1), 52-54, 1978-02
American Geophysical Union (AGU)
