Consider a time-dependant one-dimensional heat equation for 0(x.1) with boundary conditions e(0.1) = E(1.1) = 0. Use a total of three evenly spaced nodes to represent e on the inerval (0,1). Assume that the initial temperature at the centre of the interval O(0.5,0) = 1 and thermal diffusivity a = 22. Using time step of At = 0.02 calculate the temperature in the middle of the interval att = 0.1. O 0 08527 O 0.11426 0.14971 0.17632 O 0.19563

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Consider a time-dependant one-dimensional heat equation for 0(x.1) with boundary conditions O(0.1) = ©(1.1) = 0. Use a total of three evenly
spaced nodes to represent © on the inerval (0,1). Assume that the initial temperature at the centre of the interval O(0.5,0) = 1 and thermal
diffusivity a = 2.2. Using time step of At = 0.02 calculate the temperature in the middle of the interval at t= 0.1.
O 0.08527
O 0.11426
0.14971
0.17632
0.19563
Transcribed Image Text:Consider a time-dependant one-dimensional heat equation for 0(x.1) with boundary conditions O(0.1) = ©(1.1) = 0. Use a total of three evenly spaced nodes to represent © on the inerval (0,1). Assume that the initial temperature at the centre of the interval O(0.5,0) = 1 and thermal diffusivity a = 2.2. Using time step of At = 0.02 calculate the temperature in the middle of the interval at t= 0.1. O 0.08527 O 0.11426 0.14971 0.17632 0.19563
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