Radial Basis Function (RBF) methods have become the primary tool for interpolating
multidimensional scattered data. RBF methods also have become important tools for solving …

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 …

Many radial basis function (RBF) methods contain free shape parameter or parameters that
play an important role for the accuracy of the method. In most papers the authors end up …

An efficient and accurate hybrid radial basis function (HRBF) method is proposed to
numerically solve the quasi-linear viscous Burgers' equation. Two different RBFs are …

In engineering and mathematical physics nonlinear evolutionary equations play an
important role. KdV equation is one of the famous evolution equation appeared in the theory …

The high velocity, variety and volume of data generation by today's systems have
necessitated Big Data (BD) analytic techniques. This has penetrated a wide range of …

The Coimbra concept of fractional order derivative is used to build a numerical approach
using radial functions in this paper. The Coimbra derivative is capable of modelling a …

To realize and comprehend the physical phenomena of nonlinear system, exploration of
traveling wave solutions plays an important role. Among the class of dispersive PDEs of …

Many physical phenomena develop singular or nearly singular behavior in localized
regions, eg boundary layers or blowup solutions. Using uniform grids for such problems …

The fractional nonlinear coupled viscous Burgers and Korteweg-de Vries (KdV) evolutionary
equations model various interesting phenomena in engineering and applied sciences …