کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473274 698785 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical inversions of a source term in the FADE with a Dirichlet boundary condition using final observations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Numerical inversions of a source term in the FADE with a Dirichlet boundary condition using final observations
چکیده انگلیسی

This paper deals with an inverse problem of determining a source term in the one-dimensional fractional advection–dispersion equation (FADE) with a Dirichlet boundary condition on a finite domain, using final observations. On the basis of the shifted Grünwald formula, a finite difference scheme for the forward problem of the FADE is given, by means of which the source magnitude depending upon the space variable is reconstructed numerically by applying an optimal perturbation regularization algorithm. Numerical inversions with noisy data are carried out for the unknowns taking three functional forms: polynomials, trigonometric functions and index functions. The reconstruction results show that the inversion algorithm is efficient for the inverse problem of determining source terms in a FADE, and the algorithm is also stable for additional data having random noises.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 4, August 2011, Pages 1619–1626
نویسندگان
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