A PRACTICAL REVIEW OF THE ADOMIANDECOMPOSITION METHOD: COMPUTERIMPLEMENTATION ASPECTS

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MOLABAHRAMI A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2015 | Volume:5 | Issue:2 Page(s): 29-43

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Title

A PRACTICAL REVIEW OF THE ADOMIANDECOMPOSITION METHOD: COMPUTERIMPLEMENTATION ASPECTS

Author(s)

MOLABAHRAMI A. | Issue Writer Certificate

Keywords

ADOMIAN DECOMPOSITION METHODQ2

ADOMIAN POLYNOMIALSQ2

NON-LINEAR INTEGRO-DIQ2

ERENTIAL PROBLEMSQ2

SERIES SOLUTIONQ2

STRONGLY NONLINEAR PROB-LEMSQ2

EXPLICIT MACHINE COMPUTATION AND PROGRAMSQ2

Abstract

In this paper, a practical review of the ADOMIAN DECOMPOSITION METHOD, to extend the procedure to handle the strongly nonlinear problems under themixed conditions, is given and the convergence of the algorithm is proved. For this respect, a new and simple way to generate the ADOMIAN POLYNOMIALS, for a general nonlinear function, is proposed. The proposed procedure, pro-vides an explicit formula to calculate the ADOMIAN POLYNOMIALS of a nonlinearfunction. The e ciency of the approach will be shown by applying the pro-cedure on several interesting integro-di ERENTIAL PROBLEMS. The Mathematicaprograms generating the ADOMIAN POLYNOMIALS and Adomian solutions basedon the procedures in this paper are designed.

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APA: Copy

MOLABAHRAMI, A.. (2015). A PRACTICAL REVIEW OF THE ADOMIANDECOMPOSITION METHOD: COMPUTERIMPLEMENTATION ASPECTS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 5(2 ), 29-43. SID. https://sid.ir/paper/260834/en

Vancouver: Copy

MOLABAHRAMI A.. A PRACTICAL REVIEW OF THE ADOMIANDECOMPOSITION METHOD: COMPUTERIMPLEMENTATION ASPECTS. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2015;5(2 ):29-43. Available from: https://sid.ir/paper/260834/en

IEEE: Copy

A. MOLABAHRAMI, “A PRACTICAL REVIEW OF THE ADOMIANDECOMPOSITION METHOD: COMPUTERIMPLEMENTATION ASPECTS,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 5, no. 2 , pp. 29–43, 2015, [Online]. Available: https://sid.ir/paper/260834/en

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