Improved Richardson's extrapolation spreadsheet calculator for numerical differentiation

Tay, Kim Gaik and Kek, Sie Long and Abdul Kahar, Rosmila (2013) Improved Richardson's extrapolation spreadsheet calculator for numerical differentiation. In: Proceedings of the 21st National Symposium on Mathematical Sciences (SKSM21), 6-8 November 2013, Penang, Malaysia.

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Abstract

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.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:spreadsheet calculator; Richardson's extrapolation; numerical differentiation
Subjects:Q Science > QA Mathematics > QA75 Calculating machines
Divisions:Faculty of Electrical and Electronic Engineering > Department of Communication Engineering
ID Code:6508
Deposited By:Normajihan Abd. Rahman
Deposited On:30 Mar 2015 14:43
Last Modified:30 Mar 2015 14:43

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