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Using the Thomas algorithm, if the i^th unknown is Φi=Pi Φi+1+Qi. what is the last unknown value ΦN equal to?

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Using the Thomas algorithm, if the i^th unknown is Φi=Pi Φi+1+Qi. what is the last unknown value ΦN equal to?

(a) 0

(b) PN

(c) QN

(d) 1

I got this question during an interview.

My doubt stems from Discretization Aspects in division Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

1 Answer

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Best answer
Right option is (c) QN

The best explanation: For the last equation, bN=0. So, PN=0. ΦN=PNΦN+1+QN=QN.

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