If the order of a discretized equation is ‘k’, what does it mean?(a) The last term of the equation is of (k+1)^th power(b) The last term of the equation is of k^th power(c) Truncation error is proportional to (k-1)^th power(d) Truncation error is proportional to k^th powerI have been asked this question in exam.Origin of the question is Discretization Aspects in chapter Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

If the order of a discretized equation is ‘k’, what does it mean?(

1.	If the order of a discretized equation is ‘k’, what does it mean?(a) The last term of the equation is of (k+1)^th power(b) The last term of the equation is of k^th power(c) Truncation error is proportional to (k-1)^th power(d) Truncation error is proportional to k^th powerI have been asked this question in exam.Origin of the question is Discretization Aspects in chapter Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics
Answer» The correct OPTION is (d) Truncation error is proportional to K^th power The BEST I can explain: When a discretized equation is said to be of the ORDER ‘k’, it means that the last term has (k-1)^th power and the FIRST term of the truncated equation has k^th power. For example, in spatial derivative, the first term of the truncated equation will be proportional to (∆x)^k.

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