ADAPTIVE PARAMETER SCHEME IN SOLVING ONE-DIMENSIONAL ADVECTION-DIFFUSION EQUATION INCLUDING A VARIABLE SOURCE-TERM

Adaptive parameter scheme is proposed in the present investigation whi ch is well pertinent to the problem of one-dimensional advection-diffu sion equation including a variable source term. The adaptive parameter , truncation error, and correction term have been derived with respect to higher-order approximation. As the local Peclet number is a consta nt, the optimum value of this adaptive parameter can be easily acquire d by exact solution. It is found that the incorporation of correction term which is produced due to the existence of variable source term ca n obtain very accurate results.