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A family of high-order accuracy explicit difference schemes with branching stability for solving 3-D parabolic partial differential equation

✍ Scribed by Ma Ming-shu; Wang Tong-ke

Publisher: Springer
Year: 2000
Tongue: English
Weight: 274 KB
Volume: 21
Category: Article
ISSN: 0253-4827
DOI: 10.1007/bf02459000

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A-high-order accuracy explicit differenc

A-high-order accuracy explicit difference scheme for solving the equation of two-dimensional parabolic type

✍ Ma Mingshu 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 201 KB

In this paper, a three explicit difference shcemes with high order accuracy for solving the equations of two-dimensional parabolic type is proposed. The stability condition is r= At/Ax 2 =At/Ay2~I/I and the truncation error is O(/kt~+ Axe).