A new convergence proof of the Adomian decomposition method for a mixed hyperbolic elliptic system of conservation laws

Emad A. Az-Zo'Bi, Kamel Al-Khaled*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

27 اقتباسات (Scopus)

ملخص

In this paper, we propose a new convergence proof of the Adomian's decomposition method (ADM), applied to the generalized nonlinear system of partial differential equations (PDE's) based on new formula for Adomian polynomials. The decomposition scheme obtained from the ADM yields an analytical solution in the form of a rapidly convergent series for a system of conservation laws. Systems of conservation laws is presented, we obtain the stability of the approximate solution when the system changes type. We show with an explicit example that the latter property is true for general Cauchy problem satisfying convergence hypothesis. The results indicate that the ADM is effective and promising.

اللغة الأصليةEnglish
الصفحات (من إلى)4248-4256
عدد الصفحات9
دوريةApplied Mathematics and Computation
مستوى الصوت217
رقم الإصدار8
المعرِّفات الرقمية للأشياء
حالة النشرPublished - ديسمبر 15 2010
منشور خارجيًانعم

ASJC Scopus subject areas

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