Identifiability of an unknown coefficient in a nonlinear diffusion equation
نویسندگان
چکیده
منابع مشابه
Identifiability of an Unknown Coefficient in a Nonlinear Diffusion Equation*
We consider the problem of identifying an unknown coefficient in a onedimensional diffusion equation from overspecified data measured in the interior of the domain. We obtain an identifiability result which is used to derive a uniqueness result for the inverse problem.
متن کاملAn undetermined coefficient problem for a fractional diffusion equation
We consider a fractional diffusion equation (FDE) = a D u a t u C t xx ( ) with an undetermined time-dependent diffusion coefficient a(t). Firstly, for the direct problem part, we establish the existence, uniqueness and some regularity properties of the weak solution for this FDE with a fixed a t . ( ) Secondly, for the inverse problem part, in order to recover a t , ( ) we introduce an operato...
متن کاملSolving the inverse problem of determining an unknown control parameter in a semilinear parabolic equation
The inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. The series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (WHAM). A description of the method for solving the problem and nding the unknown parameter is derived. Finally, tw...
متن کاملA modified diffusion coefficient technique for the convection diffusion equation
A new modified diffusi on coefficient (MDC) technique for solv ing conve ction diffusion equation is proposed. The Galerkin finite-element discretization process is applied on the modified equation rather than the original one. For a class of one-dimensional convec-tion–diffusion equations, we derive the modi fied diffusion coefficient analytically as a function of the equation coefficients and...
متن کاملSolving a Nonlinear Inverse Problem of Identifying an Unknown Source Term in a Reaction-diffusion Equation by Adomian Decomposition Method
We consider the inverse problem of finding the nonlinear source for nonlinear Reaction-Diffusion equation whenever the initial and boundary condition are given. We investigate the numerical solution of this problem by using Adomian Decomposition Method (ADM). The approach of the proposed method is to approximate unknown coefficients by a nonlinear function whose coefficients are determined from...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1989
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/987891