Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method
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 conce...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Chemical Engineering |
| Online Access: | http://dx.doi.org/10.1155/2014/825797 |
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| _version_ | 1832560188787261440 |
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| author | Felicia Shirly Peace Narmatha Sathiyaseelan Lakshmanan Rajendran |
| author_facet | Felicia Shirly Peace Narmatha Sathiyaseelan Lakshmanan Rajendran |
| author_sort | Felicia Shirly Peace |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7bd0081067124049be788ec2d4247bd3 |
| institution | Kabale University |
| issn | 1687-806X 1687-8078 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Chemical Engineering |
| spelling | doaj-art-7bd0081067124049be788ec2d4247bd32025-02-03T01:28:09ZengWileyInternational Journal of Chemical Engineering1687-806X1687-80782014-01-01201410.1155/2014/825797825797Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition MethodFelicia Shirly Peace0Narmatha Sathiyaseelan1Lakshmanan Rajendran2Department of Mathematics, Lady Doak College, Madurai, Tamil Nadu 625002, IndiaDepartment of Mathematics, Lady Doak College, Madurai, Tamil Nadu 625002, IndiaDepartment of Mathematics, Madura College, Madurai, Tamil Nadu 625011, IndiaA 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.http://dx.doi.org/10.1155/2014/825797 |
| spellingShingle | Felicia Shirly Peace Narmatha Sathiyaseelan Lakshmanan Rajendran Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method International Journal of Chemical Engineering |
| title | Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method |
| title_full | Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method |
| title_fullStr | Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method |
| title_full_unstemmed | Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method |
| title_short | Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method |
| title_sort | analytical solution of nonlinear dynamics of a self igniting reaction diffusion system using modified adomian decomposition method |
| url | http://dx.doi.org/10.1155/2014/825797 |
| work_keys_str_mv | AT feliciashirlypeace analyticalsolutionofnonlineardynamicsofaselfignitingreactiondiffusionsystemusingmodifiedadomiandecompositionmethod AT narmathasathiyaseelan analyticalsolutionofnonlineardynamicsofaselfignitingreactiondiffusionsystemusingmodifiedadomiandecompositionmethod AT lakshmananrajendran analyticalsolutionofnonlineardynamicsofaselfignitingreactiondiffusionsystemusingmodifiedadomiandecompositionmethod |