Piecewise Polynomial Least Squares Method for Differential Equations of Fractional Order-Reference-Cited by-同舟云学术

Piecewise Polynomial Least Squares Method for Differential Equations of Fractional Order

Published:2023-05-03 Issue:1 Volume:59 Page:69-78
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Paşca Mädälina Sofia¹²

Affiliation:

1. West University of Timişoara, Department of Mathematics V. Pârvan Blv. 4, 300223 Timişoara , Romania

2. Politehnica University Timişoara, Department of Mathematics Piaţa Victoriei 2, 300006 Timişoara , Romania , madalina.pasca@upt.ro

Abstract

Abstract In this paper a new method to compute approximate analytical solutions for differential equations of fractional order is presented. The proposed computational method, called the Piecewise Polynomial Least Squares Method (PWPLSM), is a combination of the Polynomial Least Squares Method and of piecewise-defined functions. Numerical results for differential equations of different fractional orders are discussed. The approximate solutions obtained with PWPLSM are compared with other existing analytical and numerical solutions. The tables and figures included demonstrate the accuracy of the new method.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/awutm-2023-0006

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