1.

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

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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