12998

1088 دكتري

دكتري

رياضي كاربردي

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

۱۳۹۶

ده، [۱۰۱]ص.: مصور، نمودار

رضا مختاري

نبي اله گودرزوند چگيني

فارسي به انگليسي; انگليسي به فارسي

عليرضا سهيلي، داود ميرزائي، مهدي تاتاري

1396/08/21

كتابنامه

علوم رياضي

رياضي

ID1088 دكتري

Discontinuous Galerkin method for solving inverse problems in time fractional partial di erential equations Somayeh Yeganeh s yeganeh@math iut ac ir 2017 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 IranSupervisor Dr Reza Mokhtari mokhtari@cc iut ac ir Advisor Dr Nabiollah Chegini chegini@tafreshu ac ir 2010 MSC 65N32 65M60 35R11 Keywords Local discontinuous Galerkin method inverse problems time fractional di u sion equation AbstractIn this thesis we apply a local discontinuous Galerkin LDG method for solving inverse prob lems in time fractional partial di erential equations The method is based on a nite di erencescheme in time and a LDG method in space A numerical stability theorem as well as an errorestimate is provided It must be pointed out that the proposed method generates stable andaccurate numerical results For solving some time fractional partial di erential equations PDEs relevant LDG schemeshave been constructed and analyzed 1 IntroductionBy replacing the standard time derivative with a time fractional derivative in a di usion equa tion a time fractional di usion equation is obtained Fractional di usion equations can beapplied in modelling of some problems in porous ows rheology and mechanical systems mod els of a variety of biological processes control and robotics transport in fusion plasmas andmany other areas of applications Analytical or numerical studying of the direct problems cor responding to the time fractional di usion equations have been carried out extensively in the

رضا مختاري

نبي اله گودرزوند چگيني

عليرضا سهيلي، داود ميرزائي، مهدي تاتاري