Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

This is a preview. Log in through your library . Abstract We give error estimates for the numerical solution by means of the Galerkin finite element method of an ...

Off-axis paraboloid reflector is a special optical element, its main function is to focus the incident light to a certain distance from the optical axis. The working principle is based on the ...

In this paper, the solution of back-Euler implicit difference scheme for a semi-linear parabolic equation is proved to converge to the solution of difference scheme for the corresponding semi-linear ...