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Necessary conditions for ɛ-uniform convergence of finite difference schemes for parabolic equations with moving boundary layers

✍ Scribed by G. I. Shishkin

Book ID
110194800
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
333 KB
Volume
47
Category
Article
ISSN
0965-5425

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✍ Zhi-Zhong Sun 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 386 KB

A difference scheme is derived for a class of nonlocal parabolic equations with natural boundary conditions by the method of reduction of order. It is shown that the scheme is uniquely solvable and unconditionally convergent with the convergence rate of order O(h 2 + z 2). A numerical example with s