Source identification problems for hyperbolic differential and difference equations
Allaberen AshyralyevDepartment of Mathematics , Near East University , Nicosia , TRNC, Mersin 10 , Turkey ; and Peoples’ Friendship University of Russia (RUDN University), Moscow 117198, Russia; and Institute of Mathematics and Mathematical Modeling, 050010, Almaty, KazakhstanFathi EmharabDepartment of Mathematics , Near East University , Nicosia , TRNC, Mersin 10 , Turkey ; and Department of Mathematics, Omar Al-Mukhtar University, El-Beida, Libya
2018en
ABI
Annotatsiya
Abstract In the present study, a source identification problem for a one-dimensional hyperbolic equation is investigated. Stability estimates for the solution of the source identification problem are established. Furthermore, a first-order-of-accuracy difference scheme for the numerical solution of the source identification problem is presented. Stability estimates for the solution of the difference scheme are established. This difference scheme is tested on an example, and some numerical results are presented.
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