Modified Adomian decomposition method for singular initial value problems in the second-order ordinary differential equations
Journal Title: Surveys in Mathematics and its Applications - Year 2008, Vol 3, Issue 0
Abstract
In this paper an efficient modification of Adomian decomposition method is introduced for solving singular initial value problem in the second-order ordinary differential equations. The scheme is tested for some examples and the obtained results demonstrate efficiency of the proposed method.
Authors and Affiliations
Yahya Qaid Hasan, Liu Ming Zhu
Enclosing roots of polynomial equations and their applications to iterative processes
We introduce a special class of real recurrentpolynomials f<SUB>n</SUB> (n ≥ 1) of degree n,with unique positive roots s<SUB>n</SUB>, which are decreasingas n increases. The first root s<SUB>...
Subordination and superordination for certain analytic functions containing fractional integral
The purpose of the present article is to derive some subordination and superordination results for certain normalized analytic functions involving fractional integral operator. Moreover, this result is applied to find a...
Full averaging of fuzzy impulsive differential inclusions
In this paper the substantiation of the method of full averaging for fuzzy impulsive differential inclusions is studied. We extend the similar results for impulsive differential inclusions with Hukuhara derivative (Skrip...
Perturbation analysis for the complex matrix equation Q ± AHXpA - X = 0
We study the sensitivity of the solution of a general type matrix equation Q ± A<sup>H</sup>X<sup>p</sup>A - X = 0. Local and nonlocal perturbation bounds are derived. The results are obtained usi...
Special Features In Turbulent Mixing. Comparison between Periodic and Non Periodic Case
After hundreds of years of stability study, the problems of flow kinematics are far from complete solving. A modern theory appears in this field: the mixing theory. Its mathematical methods and techniques developed the s...