Source identification problems for hyperbolic differential and difference equations
Copyright policy )Source identification problems for hyperbolic differential and difference equations
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.
- Peoples' Friendship University of Russia Russian Federation
- Omar Al-Mukhtar University Libyan Arab Jamahiriya
- Institute of Mathematics and Mathematical Modeling Kazakhstan
Inverse problems for PDEs, Abstract hyperbolic equations, hyperbolic differential equation, Numerical solution to inverse problems in abstract spaces, difference scheme, 620, 510, source identification problem, Initial-boundary value problems for second-order hyperbolic equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Source identification problem
Inverse problems for PDEs, Abstract hyperbolic equations, hyperbolic differential equation, Numerical solution to inverse problems in abstract spaces, difference scheme, 620, 510, source identification problem, Initial-boundary value problems for second-order hyperbolic equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Source identification problem
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