In-Between Forward and Central Difference
Approximation for Evenly Spaced Data Using the
Shift Operator

Aishatu Imam Bello; Yohanna Sani Awar

doi:https://doi.org/10.14445/22315373/IJMTT-V67I7P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 7 | Year 2021 | Article Id. IJMTT-V67I7P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I7P505

In-Between Forward and Central Difference Approximation for Evenly Spaced Data Using the Shift Operator

Aishatu Imam Bello, Yohanna Sani Awar

Abstract

A number of different methods have been developed to construct useful interpolation formulas for evenly and unevenly spaced points. We developed a new interpolation formula obtained through a combination of Newton’s Gregory forward interpolation and a modified form of Gauss backward interpolation formula using the shift operator. This was achieved through the reduction in the subscripts of Gauss’s backward formula by one unit and replacing s by s-1. Comparison of the newly developed method with their counterparts was also carried out and results show that the new formula is very efficient and possess good accuracy for evaluating functional values between given data.

Keywords

Shift operator, forward difference interpolation, Gauss’s backward formula, Symbolic method, evenly spaced points.

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Citation :

Aishatu Imam Bello, Yohanna Sani Awar, "In-Between Forward and Central Difference Approximation for Evenly Spaced Data Using the Shift Operator," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 7, pp. 35-47, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I7P505