Inverse Problem for Euler-Bernoulli Equation with Periodic Boundary Condition


Creative Commons License

Kanca F., BAĞLAN İ.

FILOMAT, cilt.32, ss.5691-5705, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 32 Konu: 16
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1816691k
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.5691-5705

Özet

In this work the inverse coefficient problem for Euler-Bernoulli equation with periodic boundary and integral addition conditions is investigated. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown by using the generalized Fourier method. Numerical tests using the implicit finite difference scheme combined with an iterative method are presented and discussed. Also an example is presented with figures.