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Journal of Applied Mathematics and Computing

Erschienen in:

01.04.2019 | Original Research

Legendre wavelet solution of neutral differential equations with proportional delays

verfasst von: Sevin Gümgüm, Demet Ersoy Özdek, Gökçe Özaltun, Necdet Bildik

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2019

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Abstract

The aim of this paper is to solve neutral differential equations with proportional delays by using Legendre wavelet method. Using orthonormal polynomials is the main advantage of this method since it enables a decrease in the computational cost and runtime. Some examples are displayed to illustrate the efficiency and accuracy of the proposed method. Numerical results are compared with various numerical methods in literature and show that the present method is very effectual in solving neutral differential equations with proportional delays.

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Titel: Legendre wavelet solution of neutral differential equations with proportional delays
verfasst von: Sevin Gümgüm
Demet Ersoy Özdek
Gökçe Özaltun
Necdet Bildik
Publikationsdatum: 01.04.2019
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2019
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-019-01256-z

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