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Retrieval of Timewise Coefficients in the Heat Equation from Nonlocal Overdetermination Conditions.
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- معلومة اضافية
- Alternate Title:
استرجاع المعامِلات الزمنية في معادلة الح ا ررة من شروط اضافية غير المحلية.
- نبذة مختصرة :
تبحث هحه الهرقة في الاستخداد المت ا دمن لمعاملَين معتمجين على الهقت لمعادلة الح ا خرة تحت ظخوف حجود نيهمان. تم اعتبار هحه المدألة تحت ظخوف إضافية من النهع غيخ المحلي. المذكلة الخئيدية في هحه المدألة هي ان الحل غيخ مدتقخ للتلهث الرغيخ بالأخطاء في البيانات المجخلة. تم استخجام طخيقة الفخوق لحل المدألة المباشخة بينما ينعخ إلى المدألة العكدية على أنها مدألة امثلية Crank-Nicolson المحجودة وججنا أن النتائج العجدية دقيقة ومدتقخة. .MATLAB غيخ خطية. تم حل المدألة عجديًا باستخجا [ABSTRACT FROM AUTHOR]
- نبذة مختصرة :
This paper investigates the simultaneous recovery for two time-dependent coefficients for heat equation under Neumann boundary condition. This problem is considered under extra conditions of nonlocal type. The main issue with this problem is the solution unstable to small contamination of noise in the input data. The Crank-Nicolson finite difference method is utilized to solve the direct problem whilst the inverse problem is viewed as nonlinear optimization problem. The later problem is solved numerically using optimization toolbox from MATLAB. We found that the numerical results are accurate and stable. [ABSTRACT FROM AUTHOR]
- نبذة مختصرة :
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