Hybrid symbolic and numerical simulation studies of time-fractional order wave-diffusion systems. (English) Zbl 1125.65364
Summary: Boundary control of time-fractional order diffusion-wave systems is becoming an active research area. However, there is no readily available simulation tool till now for researchers to analyze and design controllers. In this paper, a simulation method for some typical boundary control problems, combining symbolic mathematics and numerical methods, is presented with two application examples. In the intermediate steps of the simulation, an important by-product, the transfer function of the controlled system, can be obtained, which makes the design of more advanced boundary controllers possible and much easier.
MSC:
| 65R20 | Numerical methods for integral equations |
| 45K05 | Integro-partial differential equations |
| 65K10 | Numerical optimization and variational techniques |
| 68W30 | Symbolic computation and algebraic computation |
| 49J20 | Existence theories for optimal control problems involving partial differential equations |
Keywords:
symbolic computation; numerical examples; boundary control; time-fractional order diffusion-wave systemsReferences:
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