Dissipative approximations to neutral DDEs. (English) Zbl 1157.65416
Summary: We approximate the solution of a neutral delay-differential equation (DDE) with the solution of a retarded DDE to exploit the fact that retarded DDEs are much easier to solve numerically. After demonstrating the validity of the approach, we develop a Matlab program, ddeNsd, that solves DDEs of neutral type. The new approach and a simple user interface make it easy to solve a wide range of test problems from the literature to moderate accuracy.
MSC:
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34K40 | Neutral functional-differential equations |
| 34K28 | Numerical approximation of solutions of functional-differential equations (MSC2010) |
| 65Y15 | Packaged methods for numerical algorithms |
| 34-04 | Software, source code, etc. for problems pertaining to ordinary differential equations |
Keywords:
delay-differential equation; DDE; neutral type; retarded type; Matlab program; numerical examplesReferences:
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