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 …

We construct in this paper two efficient spectral algorithms in the frequency space for solving
unsteady advection–reaction–diffusion equations with constant and variable coefficients. We …

Based on the viewpoint that the flow direction can be accounted for by adding more weigh of
the contribution of the upstream grid point in evaluating the transport fluxes at the cell faces …

In this paper, we present an upwind finite volume method to solve the convection-diffusion
equations with Dirichlet boundary on rectangular mesh. By utilizing the technique of element …

In this paper, we first present the expression of a model of a fourth‐order compact finite
difference (CFD) scheme for the convection diffusion equation with variable convection …

In this paper, a family of high-order compact finite difference methods in combination with
Krylov subspace methods is used for solution of the nonlinear sine–Gordon equation. We …

Recently, Buchmüller and Helzel proposed a modified dimension-by-dimension finite-
volume (FV) WENO method on Cartesian grids for multidimensional nonlinear conservation …

A ESTRA (" T We discuss a new method for solving unsteady convection-diffusion problems
arising high order compact difference approximations. The method can investigate not only …

In this paper, a family of high-order compact finite difference methods in combination
preconditioned methods are used for solution of the Diffusion-Convection equation. We …