Multi-term time fractional equations are designed to give a more accurate and flexible
mathematical model for explaining the behavior of physical systems with complex dynamics …

The use of meshfree and particle methods in the field of bioengineering and biomechanics
has significantly increased. This may be attributed to their unique abilities to overcome most …

Hardy's multiquadric and its related interpolators have been found to be highly efficient for
interpolating continuous, multivariate functions, as well as for the solution of partial …

In this paper, the localized radial basis function collocation method (LRBFCM) is combined
with the partial upwind scheme for solving convection-dominated fluid flow problems. The …

Background and objective During cell proliferation, cells grow and divide in order to obtain
two new genetically identical cells. Understanding this process is crucial to comprehend …

Many fluid-dynamics applications require solutions in complex geometries. In these cases,
mesh generation can be a difficult and computationally expensive task for mesh-based …

In this paper, a compact 5-point stencil for the discretisation of second-order partial
differential equations (PDEs) in two space dimensions is proposed. We employ integrated …

This work proposes an alternative decomposition for local scalable meshless RBF
collocation. The proposed method operates on a dataset of scattered nodes that are placed …

This paper provides a novel meshfree numerical method–the extrapolated local-radial-basis-
function collocation method (ELRBFCM)–to solve the well-known shallow-water equations …

We propose a node-based local meshless method for advective transport problems that is
capable of operating on centrally defined stencils and is suitable for shock-capturing …