Volume 10, Issue 3
A Semidiscrete Approximation Scheme for Neutral Delay-differential Equations

R. Fabiano

Int. J. Numer. Anal. Mod., 10 (2013), pp. 712-726

Published online: 2013-10

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  • 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.

  • Keywords

neutral delay equation semidiscrete approximation semigroup theory

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@Article{IJNAM-10-712, author = {R. Fabiano}, title = {A Semidiscrete Approximation Scheme for Neutral Delay-differential Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {3}, pages = {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.}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/591.html} }
TY - JOUR T1 - A Semidiscrete Approximation Scheme for Neutral Delay-differential Equations AU - R. Fabiano JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 712 EP - 726 PY - 2013 DA - 2013/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/591.html KW - neutral delay equation KW - semidiscrete approximation KW - semigroup theory AB - 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.
R. Fabiano. (1970). A Semidiscrete Approximation Scheme for Neutral Delay-differential Equations. International Journal of Numerical Analysis and Modeling. 10 (3). 712-726. doi:
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