The explicit scheme: u²+¹ = ² + ^ [u²₁ - 2u² + uf_₁], i+1 λ = k/h², for solving the parabolic equation ut= Uxx is stable for λ < 1.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
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The explicit scheme:
u²+¹=u² + λ [u²₁ - 2uf + uf_₁],
i+1
λ = k/h², for solving the parabolic equation
ut = Uxx is stable for λ < 1.
Transcribed Image Text:The explicit scheme: u²+¹=u² + λ [u²₁ - 2uf + uf_₁], i+1 λ = k/h², for solving the parabolic equation ut = Uxx is stable for λ < 1.
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