分子马达模型中求解Fokker-Planck方程的修改WPE数值计算方法

A Modified WPE Method for Solving Fokker-Planck Equations in Molecular Motors Models

分析了原有WPE方法精度会下降的原因,仍然考虑局部解,重新计算了向前和向后的跳跃率,新方法——修改WPE方法的优点是:仍然能够处理势能不连续的情况,而且当势能不连续时仍能维持2阶精度,并满足数值解收敛于精确解的必要条件.

A new and modified WPE method makes use of local solutions to obtain the jump rates and finds the reason why accuracy will drop. The modified WPE method maintains the second order accuracy even when the potential is discontinuous and satisfies the necessary condition for the convergence of the numerical method at the discontinuity.