A note on the parabolic equation with an arbitrary parameter at the derivative
نویسندگان
چکیده
in a Banach space E with a strongly positive operator A and with an arbitrary positive parameter ε. We establish the well-posedness in difference analogue of Hölder space of the high order uniform difference scheme for (0.1). Moreover, in applications, the convergence estimates for the solutions of uniform difference schemes of the multidimensional parabolic differential equations with an arbitrary positive parameter ε are obtained. © 2011 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Mathematical and Computer Modelling
دوره 54 شماره
صفحات -
تاریخ انتشار 2011