Driven by the advancement of industrial mathematics and the need for impact case studies,
Inverse Problems with Applications in Science and Engineering thoroughly examines the …

In this paper a simple and convenient new regularization method for solving backward heat
equation—Fourier regularization method is given. Meanwhile, some quite sharp error …

The inverse problem of determining a spacewise-dependent heat source for the parabolic
heat equation using the usual conditions of the direct problem and information from one …

Heat transfer continues to be a major field of interest to engineering and scientific
researchers, as well as designers, developers, and manufacturers. Considerable effort has …

This paper is devoted to solve a backward problem for a time-fractional diffusion equation
with variable coefficients in a general bounded domain by the Tikhonov regularization …

In this paper we numerically integrate the backward heat conduction equation∂ u/∂ t= ν▵
u, in which the Dirichlet boundary conditions are specified at the boundary of a certain …

The inverse problem of determining a spacewise dependent heat source, together with the
initial temperature for the parabolic heat equation, using the usual conditions of the direct …

In this paper, we consider an inverse problem for determining the initial value of heat
equation with inhomogeneous source on a columnar symmetric domain. The quasi …

In this paper a numerical scheme based on the idea of radial basis function finite difference
(RBF-FD) technique is considered to solve the backward heat conduction problems (BHCP) …

This paper presents a novel space–time meshless method for solving the backward heat
conduction problem (BHCP). A numerical approximation is obtained using the Trefftz basis …