A practical review of the Adomian decomposition method: computer implementation aspects
سال انتشار: 1394
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 338
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شناسه ملی سند علمی:
JR_IJNAO-5-2_003
تاریخ نمایه سازی: 6 شهریور 1396
چکیده مقاله:
In this paper, a practical review of the Adomian decomposition method, to extend the procedure to handle the strongly nonlinear problems under the mixed 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, provides an explicit formula to calculate the Adomian polynomials of a nonlinear function. The efficiency of the approach will be shown by applying the procedure on several interesting integro-differential problems. The Mathematica programs generating the Adomian polynomials and Adomian solutions based on the procedures in this paper are designed.
کلیدواژه ها:
Adomian decomposition method ، Adomian polynomials ، Nonlinear integro-di erential problems ، Series solution ، Strongly nonlinear problems ، Explicit machine computation and programs
نویسندگان
a Molabahrami
Department of Mathematics, Ilam University, PO Box ۶۹۳۱۵۵۱۶, Ilam, Iran