请教pdepe的算法问题！

follwind

pdepe是MATLAB中专门用来求解一维边值边界条件问题的函数，可用来求解一维热传导问题，我现在郁闷的是不知该函数的算法是差分或者有限元，抑或者两者皆不是，查了很多资料都不知道，特来请教高手，还请不吝赐教！谢谢！



[ 本帖最后由 无水1324 于 2007-10-23 17:31 编辑 ]

无水1324

他应该是按照这个文献写的程序，
[1]  Skeel, R. D. and M. Berzins, "A Method for the Spatial Discretization of Parabolic Equations in One Space Variable," SIAM Journal on Scientific and Statistical Computing, Vol. 11, 1990, pp.1-32.

follwind

这位兄弟，非常谢谢你的参考文献，可惜我搜了半天竟没任何结果，你知道在哪儿能找到这篇文献，非常感谢！

无水1324

很抱歉，我也直用google找到摘要如下：

This paper is concerned with the design of a spatial discretization method for polar and nonpolar parabolic equations in one space variable. A new spatial discretization method suitable for use in a library program is derived. The relationship to other methods is explored. Truncation error analysis and numerical examples are used to illustrate the accuracy of the new algorithm and to compare it with other recent codes.
Keywords: Galerkin method; Petrov-Galerkin method; polar coordinates; singular boundary value problems; parabolic equations; method of lines


希望对你有用

octopussheng

这个是不是也属于偏微分方程领域啊？