Comparing the Adomian decomposition method and the Runge-Kutta method for solutions of the Stefan problem

被引：15
|
作者：
Grzymkowski, Radoslaw [1 ]
Pleszczynski, Mariusz [1 ]
Slota, Damian [1 ]
机构：
[1] Silesian Tech Univ, Math Inst, PL-44100 Gliwice, Poland
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2006年 / 83卷 / 04期
关键词：
Stefan problem; moving boundary problem; Adomian decomposition method; Runge-Kutta method;
D O I：
10.1080/00207160600961729
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The solution of the one-phase Stefan problem is presented. A Stefan's task is first approximated with a system of ordinary differential equations. A comparison between the Adomian decomposition method and the fourth-order Runge-Kutta method for solving this system is then presented.
引用
收藏
页码：409 / 417
页数：9
相关论文
共 50 条
  • [1] RUNGE-KUTTA METHOD
    EKSTROM, RE
    MACHINE DESIGN, 1968, 40 (06) : 185 - +
  • [2] Stefan problem solved by Adomian decomposition method
    Grzymkowski, R
    Slota, D
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (07) : 851 - 856
  • [3] On the Adomian decomposition method for solving the Stefan problem
    Bougoffa, Lazhar
    Rach, Randolph
    Wazwaz, Abdul-Majid
    Duan, Jun-Sheng
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2015, 25 (04) : 912 - 928
  • [4] Integration method and Runge-Kutta method
    Sanprasert, Wannaporn
    Chundang, Ungsana
    Podisuk, Maitree
    PROCEEDINGS OF THE 15TH AMERICAN CONFERENCE ON APPLIED MATHEMATICS AND PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND INFORMATION SCIENCES 2009, VOLS I AND II, 2009, : 232 - +
  • [5] CORRECTIONS ON RUNGE-KUTTA METHOD
    LADOUCEUR, F
    BYTE, 1986, 11 (09): : 372 - 372
  • [6] A MODIFIED RUNGE-KUTTA METHOD
    CHAI, AS
    SIMULATION, 1968, 10 (05) : 221 - &
  • [7] NOTE ON THE RUNGE-KUTTA METHOD
    MILNE, WE
    JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS, 1950, 44 (05): : 549 - 550
  • [8] A RESTRICTED RUNGE-KUTTA METHOD
    LANDRY, GJ
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 140 - &
  • [9] GENERALIZED RUNGE-KUTTA METHOD
    LENSING, J
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1976, 56 (11): : 503 - 504
  • [10] Computing Morse decomposition of ODEs via Runge-Kutta method
    Chiba, Yuki
    Miyaji, Tomoyuki
    Ogawa, Toshiyuki
    JSIAM LETTERS, 2021, 13 : 40 - 43
12345