Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method

Joint Authors

Sathiyaseelan, Narmatha
Lakshmanan, Rajendran
Shirly Peace, Felicia

Source

International Journal of Chemical Engineering

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-24

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Engineering Sciences and Information Technology

Abstract EN

A mathematical model of the dynamics of the self-ignition of a reaction-diffusion system is studied in this paper.

An approximate analytical method (modified Adomian decomposition method) is used to solve nonlinear differential equations under steady-state condition.

Analytical expressions for concentrations of the gas reactant and the temperature have been derived for Lewis number (Le) and parameters β, γ, and ϕ2.

Furthermore, in this work, the numerical simulation of the problem is also reported using MATLAB program.

An agreement between analytical and numerical results is noted.

American Psychological Association (APA)

Shirly Peace, Felicia& Sathiyaseelan, Narmatha& Lakshmanan, Rajendran. 2014. Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method. International Journal of Chemical Engineering،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-501160

Modern Language Association (MLA)

Shirly Peace, Felicia…[et al.]. Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method. International Journal of Chemical Engineering No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-501160

American Medical Association (AMA)

Shirly Peace, Felicia& Sathiyaseelan, Narmatha& Lakshmanan, Rajendran. Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method. International Journal of Chemical Engineering. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-501160

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-501160