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
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
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0906f257-9052-43ad-b7c4-b58ee639f1a2%2F6f50172f-7a09-460b-9d7c-97e9241d1031%2Fo1rox9j_processed.png&w=3840&q=75)
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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)