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
Shock Waves in Gas Dynamics
Shock wave theory was studied in literature by many authors. This article presents a survey with references about various topics related to shock waves: Hyperbolic conservation laws, Well-posedness theory, Compactness th...
Existence and uniqueness of the solution of the coupled conduction-radiation energy transfer on diffuse-gray surfaces
This article gives very significant and up-to-date analytical results on the conductive-radiative heat transfer model containing two conducting and opaque materials which are in contact by radiation through a transparent...
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>...
Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces
This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson (1931) , Albert (1941) and Kelly (1963)) generated by probabilistic quasi-pseudo-metric-space...
Magnetic field and thermal radiation effects on steady hydromagnetic Couette flow through a porous channel
This paper investigates effects of thermal radiation and magnetic field on hydromagnetic Couette flow of a highly viscous fluid with temperature-dependent viscosity and thermal conductivity at constant pressure through a...