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 journalArticle

3 Citations (Scopus)

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

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Non Newtonian flow
Non-Newtonian Flow
Adomian Decomposition Method
Non-Newtonian Fluid
Nonlinear equations
Nonlinear Equations
Adomian Decomposition
Numerical Solution
Decomposition
Pipe Flow
Chebyshev's Method
Nonlinear Ordinary Differential Equations
Spectral Methods
Fluid Dynamics
Analytical Methods
Nonlinear Differential Equations
Comparative Study
Analytical Solution
Pipe flow
Fluid dynamics

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

Siddiqui, A. M. ; Hameed, M. ; Siddiqui, B. M. ; Babcock, B. S. / Adomian decomposition method applied to study nonlinear equations arising in non-newtonian flows. In: Applied Mathematical Sciences. 2012 ; Vol. 6, No. 97-100. pp. 4889-4909.
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Adomian decomposition method applied to study nonlinear equations arising in non-newtonian flows. / Siddiqui, A. M.; Hameed, M.; Siddiqui, B. M.; Babcock, B. S.

In: Applied Mathematical Sciences, Vol. 6, No. 97-100, 16.10.2012, p. 4889-4909.

Research output: Contribution to journalArticle

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