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

Keywords

Related Articles

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&gt...

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...

Download PDF file
  • EP ID EP129289
  • DOI -
  • Views 94
  • Downloads 0

How To Cite

Yahya Qaid Hasan, Liu Ming Zhu (2008). Modified Adomian decomposition method for singular initial value problems in the second-order ordinary differential equations. Surveys in Mathematics and its Applications, 3(0), 183-193. https://europub.co.uk/articles/-A-129289