Patent ID: 8380775
Filing Date: 2013-02-19
Classification: G06F

Abstract:
1. A computer-implemented method for determining a solution of a partial differential equation of a first function on a spatial domain, comprising: a) receiving, by the computer, a first set of boundary conditions comprising at least one boundary surface of said first function in said spatial domain; b) generating, with the computer, an orthogonal grid of points separated by finite distances in said spatial domain; c) receiving, by the computer, a first set of boundary grid points comprising a subset of said grid points, wherein said boundary grid points represent the position of said at least one boundary surface, wherein at least a first portion of said boundary grid points are proximal to said at least one boundary surface, and a second portion comprises any said grid points being coincident with said at least one boundary surface; d) generating, with the computer, a value of said first function at each of said boundary grid points, wherein at least one of said first portion boundary grid points has said value specified that is different from said value of said first function on said boundary surface proximal to said at least one boundary grid point; e) solving, with the computer, the partial differential equation for values of said first function at locations of grid points that are not boundary grid points by a method of finite differences.