Stability for Inhomogeneous Difference Schemes
نویسندگان
چکیده
منابع مشابه
Stability for Inhomogeneous Difference Schemes1
where m is a (possibly vector-valued) unknown function of a real "time" variable t and an A-dimensional real vector "space" variable x. Here A is a linear operator, constant2 in t, operating on u, where u is considered a function of x alone (i.e., A acts on elements of a linear space (B and, for each value of t, u{-, ¿)G®). The function/is a known function of x and t. Thus u is to satisfy (1) f...
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The von Neumann stabil i ty criterion is employed in analyzing the stabili ty of a class of difference schemes for initial-value problems involving linear parabolic partial differential equations, u t = A u. I t is shown that , cont rary to the usual rule of thumb, there exist completely implicit difference schemes which are uncondit ionally unstable. Further , it is shown that the stabili ty p...
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متن کاملnonstandard finite difference schemes for differential equations
in this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (nsfds). numerical examples confirming then efficiency of schemes, for some differential equations are provided. in order toillustrate the accuracy of the new nsfds, the numerical results are compared with s...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1961
ISSN: 0002-9939
DOI: 10.2307/2034874