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Please TYPE out the code using MATLAB. It is difficult to read and understand code when it is handwritten. 1. Using your code from last
Please TYPE out the code using MATLAB. It is difficult to read and understand code when it is handwritten.
1. Using your code from last week (homework 5), set v- 1 then calculate (and store in an array) the value of u at the midpoint of the domain using 6, 12, 24, 48, and 96 segments. Then: a) Calculate and plot the changes in the solution between mesh sizes versus the mesh resolution from the coarser mesh using a loglog scale. Assuming you stored your midpoint values in an array called umid and your mesh resolutions in an array called hlist, this will be something like this for i-1:4 udiff(i) -umid(i)-umid(i+1) end loglog(hlist(1:4),udiff) (b) Use Richardson extrapolation with the three midpoint values calculated with 24,48, and 96 segments to estimate the constants, umideract, C, and for the following expression umidi-umidezact-Ch Estimate the percentage error in the calculation of the solution for the midpoint value. 2. Use COMSOL to solve the same boundary value problem as in homework 5. Repeat processes 1(a) and 1(b) above for meshes of the same resolution 1. Using your code from last week (homework 5), set v- 1 then calculate (and store in an array) the value of u at the midpoint of the domain using 6, 12, 24, 48, and 96 segments. Then: a) Calculate and plot the changes in the solution between mesh sizes versus the mesh resolution from the coarser mesh using a loglog scale. Assuming you stored your midpoint values in an array called umid and your mesh resolutions in an array called hlist, this will be something like this for i-1:4 udiff(i) -umid(i)-umid(i+1) end loglog(hlist(1:4),udiff) (b) Use Richardson extrapolation with the three midpoint values calculated with 24,48, and 96 segments to estimate the constants, umideract, C, and for the following expression umidi-umidezact-Ch Estimate the percentage error in the calculation of the solution for the midpoint value. 2. Use COMSOL to solve the same boundary value problem as in homework 5. Repeat processes 1(a) and 1(b) above for meshes of the same resolutionStep by Step Solution
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