Source Identification Inverse Problem Of The Convection-Diffusion Equation

Convection-Diffusion Equation is a linearized model that it describes viscousfluid movement.It has a wide application in the fields of environmental hydraulics andelectrochemistry.Research on inverse problem of Convection-Diffusion Equation hasremarkable achievements in the prevention and control of environmental pollution,oildrilling and other fields.At present,the main treatment method for inverse problem ofConvection-Diffusion Equation is that it can be transformed into an optimizationproblem.Genetic algorithm is a artificial intelligent algorithms for solving extremumproblem and widely used in solving the optimization problem.Aiming at the problemof sewage into the river in environmental engineering,this paper establishes themathematical model of One-Dimensional Convection-Diffusion Equation.This papercan achieve control to One-Dimensional Convection-Diffusion source by usinggenetic algorithm.In the process of solving the inverse problem,this paper solves thepositive problem by using variable method and obtains the additional condition tosolve the inverse.Then transforms the inverse problem of source identification intooptimization problem and solve it by genetic algorithm.The results of numerical showthat the method has high accuracy and quick calculation speed and is easy to realizeby computer.