高维热传导方程的高精度分支显格式

摘要

A high-order accuracy explicit difference scheme for solving 4-dimensional heatconduction equation is constructed.The stability condition is r = △t/△x2 = △t/△y2 = △t/△]z2 = △t/△w2＜3/8,and the truncation error is O(△t2 + △x4).