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Consider the global matrix AΦ=b. Let the coefficient matrix A=M-N. At the i^th iteration, the general form can be given as ______________ (Note: Φ^i is the value of Φ in the i^th iteration).(a) MΦ^i=NΦ^i-1+b(b) MΦ^i=NΦ^i+b(c) MΦ^i=NΦ^i-1-b(d) MΦ^i=NΦ^i-bI got this question in an interview for internship.Query is from Numerical Methods topic in division Numerical Methods of Computational Fluid Dynamics |
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Answer» RIGHT option is (a) MΦ^i=NΦ^i-1+b The best I can EXPLAIN: The global matrix is AΦ=b Replacing A with M-N, (M-N)Φ=b MΦ=NΦ+b At a particular STEP, we only KNOW the Φ values of the previous step only. So, MΦ^i=NΦ^i-1+b. |
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