改进的变分迭代法在多维抛物型方程反问题中的应用

Application of the Modified Iteration Method for Solving the Multidimentional Inverse Parabolic Equations

将改进的变分迭代法的应用范围加以推广,使其应用于多维抛物型方程反问题中.它通过Lagrange乘子进行简便计算求得未知参量的精确值,再应用于多维抛物型方程反问题中,可以快速得到收敛于反问题精确解的收敛序列,从而得到精确解.同时,通过与Adomian's分裂法结果比较可知前者比分裂法更好.

This paper discusses the modified vatiational iteration method for solving the multidimentional inverse parabolic problem. Through the simple calculation we have the solution of the equation. Comparing with the Adomian＇s decomposition method, it reveals that the modified iteration method is better than the later one.