Adomian decomposition method applied to study nonlinear equations arising in non-newtonian flows

A. M. Siddiqui, M. Hameed, B. M. Siddiqui, B. S. Babcock

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Adomian's decomposition method (ADM) is employed to solve nonlinear differential equations which arise in non-Newtonian fluid dynamics. We study basic pipe flow problems of a third grade and 6-constant Oldroyd non-Newtonian fluids. The technique of Adomian decomposition is applied with elegant results. The solutions obtained show the reliability and efficiency of this analytical method. Numerical solutions are also obtained by solving nonlinear ordinary differential equations using Chebyshev spectral method. We present a comparative study of the analytical and numerical solutions. The analytical results agree well with the numerical results, which reveal the effectiveness and convenience of the Adomian decomposition method.

Original languageEnglish (US)
Pages (from-to)4889-4909
Number of pages21
JournalApplied Mathematical Sciences
Volume6
Issue number97-100
StatePublished - Oct 16 2012

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Fingerprint Dive into the research topics of 'Adomian decomposition method applied to study nonlinear equations arising in non-newtonian flows'. Together they form a unique fingerprint.

Cite this