CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2007, Vol. 24 ›› Issue (3): 367-372.

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A Method for Periodic Solutions of Stiff Differential Equations

QIAO Tiantian, LI Weiguo   

  1. School of Mathematics and Computational Sciences, Petroleum University of China, Dongying 257061, China
  • Received:2006-01-10 Revised:2006-08-28 Online:2007-05-25 Published:2007-05-25

Abstract: An idiographic method for calculating periodic solutions is proposed as stiff phenomena occur.Program ODE15s for stiff initial value problems is adopted.The Gear's method with variable step length is used and corresponding formula is derived.Numerical example shows good efficiency.

Key words: periodic boundary value problem, stiff initial value problem, ODE15s, Gear's method with variable steplength

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