Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...
A homogeneous linear difference equation with constant coefficients over a locally compact abelian group $G$ is an equation of the form $\sum^n_{j=1} c_jf (t_jx) = 0 ...
This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...
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