The Design and Implementation of Numerical Computing for a Class of Free Multipoint Boundary Value Problem of O.D.E in the
Intervention of Exchange Rate
Abstract
The article first proposed the importance of the financial methematics in the financial markets and capital markets,also the importance of the exchange rate to the country economic development. A free boundary value problem of ordinary differential equations with constraint conditionsthat appears in the financial research is discussed in this paper. Some necessary conditions and a suffi-cient condition of the existence of solutions are presented. In addition, an effective numerical method for solving this problem is established. Rules of variations of the solutions with parameters are obtained using numerical solutions.
Keywords: exchange rate；differential equation；free boundary value；stochastic impulse control
