A necessary and sufficient condition is given for all hyperoblic difference schemes that use up to nine mesh points to be of second-order accuracy. We also construct a new difference scheme for ...
Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...
We consider nonlinear problems of the form f(x, λ, α) = 0, where $x \in \mathBbb{R}$ is a state variable, $\lambda \in \mathBbb{R}$ is a bifurcation parameter ...
This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...