Application of Newton’s Backward Interpolation
Using Wolfram Mathematica

Zoran Trifunov; Liridon Zenku; Teuta Jusufi-Zenku

doi:https://doi.org/10.14445/22315373/IJMTT-V67I2P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 2 | Year 2021 | Article Id. IJMTT-V67I2P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I2P508

Application of Newton’s Backward Interpolation Using Wolfram Mathematica

Zoran Trifunov, Liridon Zenku, Teuta Jusufi-Zenku

Abstract

Interpolation is one of the most basic and most useful numerical techniques. It constitutes an irreplaceable tool during work with tabular or graphical functions. The Newton’s backward interpolation is one of most important numerical techniques which have huge application in mathematics, computer science and technical science. This paper provides an analytical description of Newton's backward interpolation and how Wolfram Mathematica software can be used to solve the problems from Newton's backward interpolation.

Keywords

Backward, Interpolation, Mathematics, Wolfram.

References

[1] Fatmir Hoxha, Metoda të analizës numerike, Infbotues, Tiranë, 2008.
[2] Трпеновски Б., Целакоски Н., Елементи од нумеричката математика, Просветно Дело, Скопје, 1992.
[3] Chakrabarty, Dhritikesh. (2017). Backward Divided Difference: Representation of Numerical Data by a Polynomial Curve. 2. 1 – 6.
[4] Wolfram Mathematica, link: https://en.wikipedia.org/wiki/Wolfram_Mathematica [online accessed on 06.01.2020].
[5] Key Indicators from theme: Education and Science, State Statistical Office, link: http://www.stat.gov.mk/IndikatoriTS_en.aspx?id=5 [online accessed on 25.06.2019]
[6] Richard L. Burden, J. Douglas Faires, Numerical Analysis, Brooks Cole Pub., 2011.
[7] Stojanovska L. Trifunov Z. (2010) „Constructing and Exploring Triangles with GeoGebra“. Anale Seria Informatica, Vol VIII, Fac.2, România, pp. 45-54.
[8] Trifunov Z., Karamazova E., … (2015) „Introduction of discrete and continuous random variable“. LAP LAMBERT Academic Publishing. ISBN: 978-3-659-79405-6
[9] Biswajit Das, Dhritikesh Chakrabarty (2016) „ Newton’s backward interpolation: Representation of numerical data by a polynomial curve“, International Journal of Applied Research 2016; 2(10): 513-517, pp 513-517.
[10] Robert J Schilling, Sandra L Harries. „Applied Numerical Methods for Engineers“, Brooks /Cole, Pacific Grove, CA, 2000
[11] A. Favieri, (2018), „Hypertext on laplace transform using wolfram mathematica“, INTED2018 Proceedings, ISBN: 978-84-697-9480-7, ISSN: 2340-1079, pp. 4979-4986

Citation :

Zoran Trifunov, Liridon Zenku, Teuta Jusufi-Zenku, "Application of Newton’s Backward Interpolation Using Wolfram Mathematica," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 2, pp. 53-56, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I2P508