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Stability of the weighted splitting finite-difference scheme for a two-dimensional parabolic equation with two nonlocal integral conditions

✍ Scribed by Sajavičius, Svajūnas

Book ID
119211517
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
914 KB
Volume
64
Category
Article
ISSN
0898-1221

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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