Chemical Engineering Hand Written_Notes_Part_88

Chemical Engineering Hand Written_Notes_Part_88 - 178 5...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
178 5. OPTIMIZATION AND RELATED NUMERICAL SCHEMES Example 64 . Consider energy consumption of a boat as a function of dis- tance (see Figures 2 and 3). It is clear that total energy consumed is directly proportional to distance but the atmospheric factors namely wind, water current etc. create perturbations. Figures 2 and 3 also shows results of interpolation and smoothing, respectively. Clearly, in this case the interpolation is unable to bring out the trend in energy consumption while smoothing produces acceptable results. In the case of imprecise data, the result of interpolation is absurd when the original problem is sensitive to errors. Consequently, these results cannot be used for any future predictions. On the other hand, smoothing allows us to bring out a tendency to reduce the probable energy consumption y for any arbitrary distance x . 3.5. Quality of Approximation. When we approximate a real con- tinuous function { y ( x ): x [ a , b ] } or a set of numerical data { y i
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 2

Chemical Engineering Hand Written_Notes_Part_88 - 178 5...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online