Sentence examples for source problems for from inspiring English sources

The solutions to the Cauchy and source problems for time-fractional diffusion-wave equation have been found in cylindrical coordinates.

This paper presents a semigroup approach for inverse source problems for the abstract heat equation, when the measured output data is given in subject to the integral overspecification over the spatial domain.

This paper discusses an inverse source problem for time-dependent linear Maxwell's equations.

In [28], Zhang considered an inverse source problem for a fractional diffusion equation.

In this paper, we investigated the inverse source problem for the modified Helmholtz equation.

The theory developed in the paper can be universally applied to the moving source problem for linear systems.

An inverse time independent source problem for a fractional diffusion equation is studied and analytical solution can be obtained based on the method of the eigenfunction expansion.

We study an inverse source problem for a semilinear time-fractional diffusion equation of second order in a bounded domain in Rd.

In [36], Zhang used a truncation method to identify the unknown source for the time-fractional diffusion equation, and in [37], Wang simplified the Tikhonov regularization method to solve it, but they consider an inverse source problem for the time-fractional diffusion equation in a regular domain.

In papers [1 3] a coupled method for inverse source problem of spatial fractional anomalous diffusion equations and a boundary-type collocation method for inverse Cauchy inhomogeneous potential problems were considered.

Some error estimates are given and a number of numerical experiments for source problems as well as eigenvalue problems are presented to illustrate the superior performance of the proposed method.