@Article{IJNAM-10-3, author = {R., H., 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/2013-IJNAM-591}, url = {https://global-sci.com/article/83426/a-semidiscrete-approximation-scheme-for-neutral-delay-differential-equations} }