Work

On Newton and Lagrange Interpolation Method for first order ordinary differential equations

Year: 2024

Type: article

Abstract: In the recent past, there has been a tremendous growth of the solution of differential equations using algorithmic methods. This work deploys Newton’s interpolation polynomial method (NIPM) and Lagrange interpolation polynomial method (LIPM) to create cubic polynomials for solving initial value problems of the first order. The results obtained show greater accuracy for the investigated method when compared with some known methods in literature. Illustrative examples are presented to demonstrate the validity and applicability of the technique.

Source: World Journal of Applied Science & Technology

DOI: 10.4314/wojast.v15i2.34

Authors: P.J. Udoh, E.F. Nsien, U.A. Abasiekwere

Institution: University of Uyo

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402492951

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