FULLY DISCRETE ADAPTIVE METHODS FOR A BLOW-UP PROBLEM
نویسندگان
چکیده
منابع مشابه
Fully Discrete Adaptive Methods for a Blow-up Problem
We present adaptive procedures in space and time for the numerical study of positive solutions to the following problem, ut(x, t) = (u)xx(x, t) (x, t) ∈ (0, 1)× [0, T ), (u)x(0, t) = 0 t ∈ [0, T ), (u)x(1, t) = u(1, t) t ∈ [0, T ), u(x, 0) = u0(x) x ∈ (0, 1), with p,m > 0. We describe how to perform adaptive methods in order to reproduce the exact asymptotic behavior (the blow-up rate an...
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ژورنال
عنوان ژورنال: Mathematical Models and Methods in Applied Sciences
سال: 2004
ISSN: 0218-2025,1793-6314
DOI: 10.1142/s0218202504003751