Variational Iteration Method for Solving Reaction Diffusion Equation in Oscillatory Chemical Reactions

A mathematical modelling of an oscillatory chemical reactions based on diffusion is discussed. Analytical solutions have been found for the system of nonlinear diffusion equations of second order in the model. Nonlinear oscillation partial differential equations can be solved accurately and efficiently using the He's variational iteration method. He's variational iteration method can be used to obtain approximate analytical solutions to the system. Analytical approximation is compared with numerical simulation as well.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2024-09-16
DOI
https://doi.org/10.28924/2291-8639-22-2024-156
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
0.00

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article

Variational Iteration Method for Solving Reaction Diffusion Equation in Oscillatory Chemical Reactions

Nazek Alessa, R. Saravanakumar, S. Kannan, K. Saranya et al.
International Journal of Analysis and Applications
Differential Equations and Numerical Methods
article

Variational Iteration Method for Solving Reaction Diffusion Equation in Oscillatory Chemical Reactions

Nazek Alessa, R. Saravanakumar, S. Kannan, K. Saranya, T. Selvaganesh, K. Basari Kodi
article en

Abstract

A mathematical modelling of an oscillatory chemical reactions based on diffusion is discussed. Analytical solutions have been found for the system of nonlinear diffusion equations of second order in the model. Nonlinear oscillation partial differential equations can be solved accurately and efficiently using the He's variational iteration method. He's variational iteration method can be used to obtain approximate analytical solutions to the system. Analytical approximation is compared with numerical simulation as well.

International Journal of Analysis and ApplicationsVol. 22
Princess Nourah Bint Abdulrahman University
Openalex Percentile: Top 75%
Differential Equations and Numerical Methods
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