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In applied mathematics, the central differencing scheme is a finite difference method. The finite difference method optimizes the approximation for the differential operator in the central node of the considered patch and provides the numerical solution for differential equation.〔Computational fluid dynamics –T CHUNG, ISBN 0-521-59416-2〕 The central differencing scheme is one of the schemes to solve the integrated convection-diffusion equation and in a way to solution, calculation of transported property Φ at the e and w faces is required and hence central differencing scheme provides a method to calculate these transported property. The advantages of this method are that it is easy to understand and to implement, at least for simple material relations. The right hand side of the convection-diffusion equation which basically highlights the diffusion terms can be represented using central difference approximation. Thus, in order to simplify the solution and analysis, linear interpolation can be used logically to compute the cell face values for the left hand side of this equation which is nothing but the convective terms. Therefore cell face values of property for a uniform grid can be written as 〔An introduction to computational fluid dynamics by HK VERSTEEG and W.MALALASEKERA, ISBN 0-582-21884-5〕 : : ==Steady-state convection diffusion equation== The convection–diffusion equation is a collective representation of both diffusion and convection equations and describes or explains every physical phenomenon involving the two processes: convection and diffusion in transferring of particles, energy or other physical quantities inside a physical system. The convection-diffusion is as follows:〔An introduction to computational fluid dynamics by HK VERSTEEG and W.MALALASEKERA, ISBN 0-582-21884-5〕 : here Г is diffusion coefficient and Φ is the property 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「central differencing scheme」の詳細全文を読む スポンサード リンク
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