An operational spectral Tau method for approximating solutions to functional differential equations
摘要
In this study, we present a detailed operational implementation of the Tau method for approximating solutions to functional differential equations, including but not limited to delay differential equations and pantograph-type equations. The Tau method, a spectral technique, is particularly effective in delivering highly accurate approximations across a broad range of differential problems. Its versatility in handling both initial-value and boundary-value problems makes it especially suitable for the classes of equations addressed in this work. This methodology has been integrated into