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The Direct and Inverse Problems for the Hyperbolic Boundary Value Problem | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 24, Issue 5, 2013, Pages 39-48 | ||
| Author | ||
| Jamil Amir Ali Al-Hawasy | ||
| Abstract | ||
| This paper deals with solving the direct problem for partial differential equation of hyperbolic type with initial conditions and boundary conditions using finite element method. Also it deals with the direct method for solving the inverse problem to determine the initial condition which associates the hyperbolic partial differential equation when the solution of the equation is given at finite number of points of the domain that the solution is defined. This problem is transformed to a nonlinear optimization problem which is solved by the unconstraint Hook and Jives method. The results are given by tables and/or figures and show the efficiency of these methods. | ||
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