تعیین توابع منبع و شار مرزی مجهول در یک مساله نفوذ کسری-زمانی

In this work, we consider an inverse fractional parabolic problem that has many applications in different fields. Simultaneously determination of a source term and a boundary flux function in a time-fractional order parabolic equation is investigated using a mollified space marching method. Superposition and Duhamel's principles, the uniqueness of solution with respect to an over determination condition is proved. The stability and convergence of the numerical method are proved and two numerical test problems are conducted to illustrate the ability and accuracy of the numerical method.

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کسری زمانی ، مساله معکوس ، مولیفیکیشن ، روش مارچینگ