Simple ECEM algorithms using function values only

Philsu Kim, Sang Dong Kim, Eunjung Lee

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


In this paper, we improve the error corrected Euler method(ECEM) introduced in [11] by evaluating function values only at local nodes in each time interval. As a result, one can avoid computations of Jacobian matrices on each time interval so that the algorithms become simpler to implement in solving various class of time dependent differential equations numerically. The proposed ECEM formula resembles to the Runge-Kutta method in its representations but both methods have different characteristic properties.

Original languageEnglish
Pages (from-to)573-591
Number of pages19
JournalKyungpook Mathematical Journal
Issue number4
Publication statusPublished - 2013 Dec

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics


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