- 1 30 P Consider The Following Problem For Nonlinear Heat Equation U A U U For X 0 1 0 0 1 1 1 0 1 (16.75 KiB) Viewed 13 times
1. (30 p.) Consider the following problem for nonlinear heat equation u =(a (u)u), for x € (0,1), + > 0 (0,1)=(1, 1) = 0
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1. (30 p.) Consider the following problem for nonlinear heat equation u =(a (u)u), for x € (0,1), + > 0 (0,1)=(1, 1) = 0
1. (30 p.) Consider the following problem for nonlinear heat equation u =(a (u)u), for x € (0,1), + > 0 (0,1)=(1, 1) = 0 u(x,0)=sin(31x) Here a (u)= 2 + Ecos(u), where le«l. Derive an explicit finite difference scheme for the problem and find a stability condition.
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