Modeling And Computation Of The Optimal Car Purchasing Scheme Under The Climate Warming Background

A growing number of research shows that human activity is an important cause of global temperature rising.As a part of human activity,using of personal vehicles which result in greenhouse gas emissions,play a main role in global warming.China,a big developing country,whose passenger car market have large rising space with the quickly rising of China market in the future.Environmental problems,which brought by car energy problems,is a coming challenge to China.Drawing lessons from the western developed countries’ policy restrictions on carbon emissions in the automotive industry,China’s carbon tax on passenger cars is imperative.This paper mainly studies on the problem about consumer will buy a new car instead of the old one.The consumer makes choice by maximizing his car utility which associated with non-monetary value,efficiency,capital cost and the oil price in future.Existing research is easy to give the choice of model,which result is static.However,given different oil price,the best decision may change.Chapter one mainly describes about the research background and research status.Chapter two analyzes the factors of consumer’s buying,and establishes the mathematical-model based on real option method.Then according to researching method of American option,we derive the variational inequality.Chapter three deals with variational inequalities according to power penalty method,and solve nonlinear partial differential equations with the finite volume method.In chapter four,numerical and computational results are given to verify the model.The sixth chapter summarizes the research results and shortcomings.The research of this paper provides a reference for the practical problems of consumers’ car buying,which gives a clear description of when to buy a new car and what kind of car to buy.