Meshfree radial basis function (RBF) methods are popular tools used to numerically solve
partial differential equations (PDEs). They take advantage of being flexible with respect to …

The problem of determining a space-dependent source term in a time fractional diffusion
equation is considered from the measured data at the final time. To find an approximation of …

The ill-posedness of the forward-backward heat problem arises in boundary layer problems,
fluid dynamics, plasma physics, astrophysics and the study of propagation of an electron …

The current study introduces a fast and accurate method based on a novel adaptive
meshfree technique to solve time-dependent partial differential equations with solutions …

In this paper, a truly meshless method based on the partition of unity method (PUM) is
developed for the numerical solution of the two-dimensional forward–backward heat …