Improved Richardson's extrapolation spreadsheet calculator for numerical differentiation
In this paper, we have improved the limitations of our previous Richardson's extrapolation spreadsheet calculator for computing differentiations numerically. These limitations are the value of D(0,O) keyed in by users using 3-point central difference formula, and the fact that the previous spre...
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| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Published: |
2013
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/6508/ http://eprints.uthm.edu.my/6508/6/improved_richardson's_extrapolation_speadsheet.pdf |
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| Summary: | In this paper, we have improved the limitations of our previous Richardson's extrapolation spreadsheet calculator
for computing differentiations numerically. These limitations are the value of D(0,O) keyed in by users using 3-point central
difference formula, and the fact that the previous spreadsheet calculator can only calculate the approximate definite
differentiation up to level 4 x 4. If the function to be differentiated is complicated, calculating D(0,O) using 3-point central
difference formula can be tedious as parentheses should be put in a proper order when writing the calculation command.
Otherwise, the calculation command may lead to a wrong answer. In this improved Richardson's extrapolation spreadsheet
calculator, we redesigned the Richardson's extrapoIation spreadsheet calculator, where users are only required to give the
value of x, the function to be differentiated f(x), and the step size h value without writing the command to obtain D(0,O).
Consequently, the calculations will be done automatically to approximate the definite differentiation up to level 10 x 10. |
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