Partially-Corrected Euler Method for Solution of ODE's

Friedman, A

Lawrence Livermore National Laboratory

关键词: Equations;    Mathematical Solutions;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Computer Calculations;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;   

DOI  :  10.2172/922092
RP-ID  :  UCRL-TR-235096
RP-ID  :  W-7405-ENG-48
RP-ID  :  922092

美国|英语

来源: UNT Digital Library

【 摘 要 】

The authors goal is to solve the ODE: dy/dt = f(t,y(t)) where we are to advance the independent variables y by marching forward in time t using a step size h. Here time levels are denoted by subscripts. The 'modified Euler' method (e.g., [1,2]) uses a forward-Euler step as a predictor to yield a provisional estimate {tilde y}{sub i+1} of the dependent variables at the advanced time level: {tilde y}{sub i+1} = y{sub i} + hf(t{sub i},y{sub i}).