Numerical Solution of Inverse Problems for a Hyperbolic Equation with a Small Parameter Multiplying the Highest Derivativeстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 7 сентября 2018 г.
Аннотация:We consider two inverse problems for a hyperbolic equation with a small parameter
multiplying the highest derivative. The inverse problems are reduced to systems of linear
Volterra integral equations of the second kind for the unknown functions. These systems are
used to prove the existence and uniqueness of the solution of the inverse problems and numerically
solve them. The applicability of the methods developed here to the approximate solution
of the problem on an unknown source in the heat equation is studied numerically.