Numerical reconstruction of orders in coupled systems of subdiffusion equations

Abstract

In this paper, we develop a numerical algorithm for an inverse problem on determining fractional orders of time derivatives simultaneously in a coupled subdiffusion system. Following the theoretical uniqueness, we reformulate the order inverse problem as a discrete minimization problem, so that we derive a concise Gauss-Newton iterative method. Abundant numerical tests demonstrate the efficiency and accuracy of the proposed algorithm.

8 pages, 5 tables

References in corpus (2)

• Initial-boundary value problems for coupled systems of time-fractional diffusion equations
• Forward and backward problems for coupled subdiffusion systems

Cited by in corpus (1)

• Inverse $t$-source problem and a strict positivity property for coupled subdiffusion systems