A Semidiscrete Approximation Scheme for Neutral Delay-Differential Equations

A Semidiscrete Approximation Scheme for Neutral Delay-Differential Equations

Year:    2013

Author:    R. H. Fabiano

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 3 : pp. 712–726

Abstract

We consider an approximation scheme for systems of linear delay-differential equations of neutral type. The finite dimensional approximating systems are constructed with basis functions defined using linear splines, extending to neutral equations a scheme which had previously been defined only for retarded equations. A Trotter-Kato semigroup convergence result is proved, and numerical results are given to illustrate the qualitative behavior of the scheme.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-IJNAM-591

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 3 : pp. 712–726

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    neutral delay equation semidiscrete approximation semigroup theory.

Author Details

R. H. Fabiano