Symbolic and Numeric Computation of Optimal Initial Velocity in a Wave Equation

Akbulut, Yeşim

doi:10.1115/1.4006786

Makale Tam Makale Uluslararası 2013

Symbolic and Numeric Computation of Optimal Initial Velocity in a Wave Equation

Yeşim Akbulut

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS Cilt 8 · Sayı 1 · 01.01.2013

DOI ile aç

Özet

We get symbolic and numeric solutions developing a MAPLE (R) program which uses the initial velocity on the state variable of a wave equation as control function. Solution of this problem implies the minimization at the final time of the distance measured in a suitable norm between the solution of the problem and a given target. An iterative algorithm is constructed to compute the required optimal control as the limit of a suitable subsequence of controls. Results are tested with some numerical examples. [DOI: 10.1115/1.4006786]

Atıf için künye

Akbulut, Y. (2013). Symbolic and Numeric Computation of Optimal Initial Velocity in a Wave Equation. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 8(1). https://doi.org/10.1115/1.4006786

BibTeX

@article{akbulut2013-74526,
  author = {Akbulut, Yeşim},
  title = {Symbolic and Numeric Computation of Optimal Initial Velocity in a Wave Equation},
  journal = {JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS},
  year = {2013},
  volume = {8},
  number = {1},
  issn = {1555-1423},
  doi = {10.1115/1.4006786},
  url = {https://akademik.atauni.edu.tr/yayinlar/74526-symbolic-and-numeric-computation-of-optimal-initial-velocity-in-a-wave-equation}
}