Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (3): 446-452.

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

  

  1. 1. College of Mathematics and Information Science,Henan Normal University  2. Anyang Institute of Technology 
  • Received:2006-07-10 Online:2008-09-30 Published:2023-09-25
  • About author: MA Ming-shu(1941- ), male, native of Xiuwu, Henan, a professor of Henan Normal University, engages in numerical solution of partial differential equation; MA Ju-yi(1964- ), female, native of Xiuwu, Henan,an associate professor of Anyang Institute of Techndogy, engages in numerical solution of partial differential equation.
  • Supported by:
     Supported by NSF of the Education Department of Henan Province(20031100010)

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

Key words: heat-conduction equation, explicit difference scheme, high-order accuracy;
branching stability

CLC Number: