In this paper, a new approach for the numerical computation of delay differential equations (DDEs) is introduced. The essential idea consists of obtaining numerical integrators that use a code ...

A class of third-order semi-canonical differential equations with a superlinear neutral term of the type ( a( t ) [ ( b( t )( x( t )+p( t ) x α ( τ ) )’ )’ ] β )+q( t ) x λ ( σ( t ) )=0 is considered.

Delay differential equations (DDEs) extend classical ordinary differential equations by incorporating dependencies on past states. This inclusion of time delays is critical for accurately modelling ...