A collocation method with space–time radial polynomials for solving two–dimensional
inverse heat conduction problems (IHCPs) is presented. The space–time radial polynomial …

Featured Application The novel space–time radial polynomial basis function collocation
method is first proposed for solving the backward heat conduction problems in this study …

In this paper, a radial basis collocation method (RBCM) based on the global space–time
multiquadric (MQ) is proposed to solve the inverse heat conduction problem (IHCP). The …

In this study, inverse Cauchy problems, which are governed by the Poisson equation,
inhomogeneous Helmholtz equation, and inhomogeneous convection-diffusion-reaction …

In this article, a novel spacetime collocation Trefftz method for solving the inverse heat
conduction problem is presented. This pioneering work is based on the spacetime …

In this study, a radial basis function collocation method (RBFCM) is proposed for the
numerical treatment of inverse space-wise dependent heat source problems. Multiquadric …

In this paper, a local radial basis function collocation method is proposed for the numerical
solution of inverse space‐wise dependent heat source problems. Multiquadric radial basis …

This study is devoted to find the numerical solution of the surface heat flux history and
temperature distribution in a non linear source term inverse heat conduction problem …

In this paper, we develop a new meshless and integration-free numerical scheme for solving
an inverse heat conduction problem. The numerical scheme is developed based on the use …

It is well-known that the inverse heat problems (IHP) are ill-posed such that we encounter to
some difficulties in the numerical techniques. In the current article, a numerical technique …