IMPROVING THE ADOMIAN DECOMPOSITION METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS

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VAHIDI ALI REZA; ASADI KORDSHOULI GH.; AMANZADEH MASOUD

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Journal: Journal of Operational Research in its Applications Year:2008 | Volume:5 | Issue:18 Page(s): 49-56

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Information Journal Paper

Title

IMPROVING THE ADOMIAN DECOMPOSITION METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS

Author(s)

VAHIDI ALI REZA | ASADI KORDSHOULI GH. | AMANZADEH MASOUD | Issue Writer Certificate

Keywords

ADOMIANQ2

DECOMPOSITION METHODQ3

ORDINARY DIFFERENTIONAL EQUATIONSQ4

Abstract

In ADOMIAN's DECOMPOSITION METHOD the Taylor series of any function of independent variable in the equation around the initial point of the required interval uses to obtain the solution of differential equation as a polynomial. This causes that the solution become inaccurate at the end of the interval. In this paper two methods are introduced to resolve this problem and are examined through numerical examples.

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APA: Copy

VAHIDI, ALI REZA, ASADI KORDSHOULI, GH., & AMANZADEH, MASOUD. (2008). IMPROVING THE ADOMIAN DECOMPOSITION METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 5(18), 49-56. SID. https://sid.ir/paper/164705/en

Vancouver: Copy

VAHIDI ALI REZA, ASADI KORDSHOULI GH., AMANZADEH MASOUD. IMPROVING THE ADOMIAN DECOMPOSITION METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2008;5(18):49-56. Available from: https://sid.ir/paper/164705/en

IEEE: Copy

ALI REZA VAHIDI, GH. ASADI KORDSHOULI, and MASOUD AMANZADEH, “IMPROVING THE ADOMIAN DECOMPOSITION METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 5, no. 18, pp. 49–56, 2008, [Online]. Available: https://sid.ir/paper/164705/en

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