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

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Atıf İçin Kopyala

Sarac Y.

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, cilt.8, sa.1, 2013 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 8 Sayı: 1
• Basım Tarihi: 2013
• Doi Numarası: 10.1115/1.4006786
• Dergi Adı: JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Atatürk Üniversitesi Adresli: Evet

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]