Understanding the distribution of nanoparticles injected into a tumor can guide clinical cancer treatments.

In this paper, the time-fractional heat equation with the Caputo derivative of order α where 0 < α ≤ 1 is considered. The parametric Crank-Nicholson type method for direct problems is used. But for ...

Rothe's method for parabolic initial boundary value problems, also known as the horizontal line method, consists of a time discretization by finite differences and leads to a sequence of boundary ...

Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...