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Continualization and Discretization

In: Ordinary Differential Equations and Mechanical Systems

Author

Listed:
  • Jan Awrejcewicz

    (Łódź University of Technology, Department of Automation, Biomechanics and Mechatronics)

Abstract

So far we considered oscillations of a single oscillator, or in a language of mechanics, a system of one degree-of-freedom. If there is a lot of oscillators, connected along a certain axis, then a problem of modelling can be reduced to continualization, i.e. there is a possibility of transition from many second-order ordinary differential equations to a single partial differential equation.

Suggested Citation

  • Jan Awrejcewicz, 2014. "Continualization and Discretization," Springer Books, in: Ordinary Differential Equations and Mechanical Systems, edition 127, chapter 0, pages 395-415, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-07659-1_12
    DOI: 10.1007/978-3-319-07659-1_12
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