Two high-order correct difference analogues for the equation of multidimensional heat flow
Two high-order correct difference analogues for the equation of multidimensional heat flow
1. Introduction. Several high-order accuracy difference equations for the heat equation in one space variable [1] have been proposed, but most do not extend to several space variables with any ease, if at all. Two three-level difference equations are discussed here, each of which is fourth-order correct in space and …