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1. Use linear basis functions (hat functions) to approximate the solution
uh = ∑j=1N cjΦj(x)
2. Show me the entire FEN! procedure to derive the final tridiagonal system.
3. Calculate the local 2 x 2 stiffutot matrix and local 2 x t load vector and assemble it to form the global o iffneo matrix and global load vector.
4. Use the Thomas algorithm to solve the system on four grids with n = 4. 8. 16. and 32. Plot the results uh(x) vs. r. Also plot the exact solution tk.x.ct(.r) vs. x on the same figure for comparison purpose.
5. You need to include your source code in your submission.
Use C Language. Make sure you satisfy the requirements in each question. For example, if a question should be solved using a certain theory or method then the formula should also be from that theory.
Attachment:- Question.rar
READ THE QUESTION IN DETAIL AND USE THE FORMULA OR METHOD DEFINED IN THE QUESTION. Please find the attached. Use C Language. I need Code and Result in Word Document for each question. This is a Ph.D. level work and every question should be programmed according to the question and not just using random code to get the output. Make sure you satisfy the requirements in each question. For example, if a question should be solved using a certain theory or method then the formula should also be from that theory. The last assignment I submitted had so many errors and I ended up getting a low grade. A lot of code used in the program was just rubbish and code did not match the requirements of the question. Please use the formulas as given/instructed in the questions. PLEASE GIVE ME ACCURATE SOLUTION TO EACH QUESTION.
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