A High-order Accuracy Explicit Difference Scheme with Branching Stability for Solving Higher-dimensional Heat-conduction Equation  

作　　者：MA Ming-shu MA Ju-yi GU Shu-min ZHU Lin-lin 

机构地区：[1]College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007,China [2]Anyang Institute of Technology, Anyang 455000, China

出　　处：《Chinese Quarterly Journal of Mathematics》2008年第3期446-452,共7页数学季刊（英文版）

基　　金：NSF of the Education Department of Henan Province(20031100010)

摘　　要：A high-order accuracy explicit difference scheme for solving 4-dimensional heatconduction equation is constructed. The stability condition is r = △t/△x^2 = △t/△y^2 = △t/△z^2 = △t/△w^2 〈 3/8, and the truncation error is O（△t^2 ＋ △x^4）.

关 键 词：heat-conduction equation explicit difference scheme high-order accuracy branching stability 

分 类 号：O175.26[理学—数学]