Numerical Estimation of a Diffusion Coefficient in Subdiffusion

نویسندگان

چکیده

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 23 October 2019Accepted: 08 January 2021Published online: 15 April 2021Keywordsparameter identification, subdiffusion, fully discrete scheme, convergence, error estimate, Tikhonov regularizationAMS Subject Headings35R11, 35R30, 49M25, 65M60Publication DataISSN (print): 0363-0129ISSN (online): 1095-7138Publisher: Society for Industrial and Applied MathematicsCODEN: sjcodc

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Numerical Identification of a Spatially Varying Diffusion Coefficient

We consider the inverse problem of identifying a spatially varying diffusion coefficient on the basis of an observed solution to the forward problem. Under appropriate conditions, this inverse problem can be solved as a first order hyperbolic problem in the unknown coefficient. We provide a modified upwind difference scheme for this hyperbolic problem and prove that its convergence rate is 0(h)...

متن کامل

Estimation of Binary Infinite Dilute Diffusion Coefficient Using Artificial Neural Network

In this study, the use of the three-layer feed forward neural network has been investigated for estimating of infinite dilute diffusion coefficient ( D12 ) of supercritical fluid (SCF), liquid and gas binary systems. Infinite dilute diffusion coefficient was spotted as a function of critical temperature, critical pressure, critical volume, normal boiling point, molecular volume in normal boilin...

متن کامل

Estimation for stochastic differential equations with a small diffusion coefficient

We consider a multidimensional diffusion X with drift coefficient b(Xt, α) and diffusion coefficient εa(Xt, β) where α and β are two unknown parameters, while ε is known. For a high-frequency sample of observations of the diffusion at the time points k/n, k = 1, . . . , n, we propose a class of contrast functions and thus obtain estimators of (α, β). The estimators are shown to be consistent an...

متن کامل

Simultaneous estimation of spatially dependent diffusion coefficient and source term in a nonlinear 1D diffusion problem

This work deals with the use of the conjugate gradient method in conjunction with an adjoint problem formulation for the simultaneous estimation of the spatially varying diffusion coefficient and of the source term distribution in a one-dimensional nonlinear diffusion problem. In the present approach, no a priori assumption is required regarding the functional form of the unknowns. This work ca...

متن کامل

A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo

In this work the mathematical model of a spatial pattern in chemical and biological systems is investigated numerically. The proposed model considered as a nonlinear reaction-diffusion equation. A computational approach based on finite difference and RBF-collocation methods is conducted to solve the equation with respect to the appropriate initial and boundary conditions. The ability and robust...

متن کامل

ذخیره 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: Siam Journal on Control and Optimization

سال: 2021

ISSN: ['0363-0129', '1095-7138']

DOI: https://doi.org/10.1137/19m1295088