ISSN 2394-5125
 

Research Article 


AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN A PLANAR, CYLINDRICAL AND SPHERICAL CELL USING WAVELET METHOD

M. Salai Mathi Selvi, R. Seethalakshmi, L. Rajendran.

Abstract
The mathematical model of reaction-diffusion problem with Michaelis-Menten kinetics in a solid of planar, cylindrical and spherical shapecell is discussed. This model is based on a nonlinear reaction-diffusion equation containing a nonlinear term related to Michaelis-Menten enzyme reaction kinetics. An efficient, simple, flexible, and straight forward wavelet-based spectral method has been developed for the analytical expressions of substrate concentration for all parameter values. The efficiency of the proposed wavelet method is confirmed by the mean of the computational CPU time. It also needs less cost of computation. The proposed wavelet-based results are compared with numerical and Adomian decomposition method (ADM). There is strong agreement between analytical and numerical results.

Key words: Mathematical Modeling, Non-Linear Diffusion-Reaction, Michaelis-Menten Kinetics, Ultra Spherical Wavelet Method.


 
ARTICLE TOOLS
Abstract
PDF Fulltext
How to cite this articleHow to cite this article
Citation Tools
Related Records
 Articles by M. Salai Mathi Selvi
Articles by R. Seethalakshmi
Articles by L. Rajendran
on Google
on Google Scholar


How to Cite this Article
Pubmed Style

M. Salai Mathi Selvi, R. Seethalakshmi , L. Rajendran. AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN A PLANAR, CYLINDRICAL AND SPHERICAL CELL USING WAVELET METHOD. JCR. 2020; 7(19): 9729-9744. doi:10.31838/jcr.07.19.1077


Web Style

M. Salai Mathi Selvi, R. Seethalakshmi , L. Rajendran. AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN A PLANAR, CYLINDRICAL AND SPHERICAL CELL USING WAVELET METHOD. http://www.jcreview.com/?mno=11949 [Access: August 17, 2021]. doi:10.31838/jcr.07.19.1077


AMA (American Medical Association) Style

M. Salai Mathi Selvi, R. Seethalakshmi , L. Rajendran. AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN A PLANAR, CYLINDRICAL AND SPHERICAL CELL USING WAVELET METHOD. JCR. 2020; 7(19): 9729-9744. doi:10.31838/jcr.07.19.1077



Vancouver/ICMJE Style

M. Salai Mathi Selvi, R. Seethalakshmi , L. Rajendran. AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN A PLANAR, CYLINDRICAL AND SPHERICAL CELL USING WAVELET METHOD. JCR. (2020), [cited August 17, 2021]; 7(19): 9729-9744. doi:10.31838/jcr.07.19.1077



Harvard Style

M. Salai Mathi Selvi, R. Seethalakshmi , L. Rajendran (2020) AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN A PLANAR, CYLINDRICAL AND SPHERICAL CELL USING WAVELET METHOD. JCR, 7 (19), 9729-9744. doi:10.31838/jcr.07.19.1077



Turabian Style

M. Salai Mathi Selvi, R. Seethalakshmi , L. Rajendran. 2020. AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN A PLANAR, CYLINDRICAL AND SPHERICAL CELL USING WAVELET METHOD. Journal of Critical Reviews, 7 (19), 9729-9744. doi:10.31838/jcr.07.19.1077



Chicago Style

M. Salai Mathi Selvi, R. Seethalakshmi , L. Rajendran. "AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN A PLANAR, CYLINDRICAL AND SPHERICAL CELL USING WAVELET METHOD." Journal of Critical Reviews 7 (2020), 9729-9744. doi:10.31838/jcr.07.19.1077



MLA (The Modern Language Association) Style

M. Salai Mathi Selvi, R. Seethalakshmi , L. Rajendran. "AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN A PLANAR, CYLINDRICAL AND SPHERICAL CELL USING WAVELET METHOD." Journal of Critical Reviews 7.19 (2020), 9729-9744. Print. doi:10.31838/jcr.07.19.1077



APA (American Psychological Association) Style

M. Salai Mathi Selvi, R. Seethalakshmi , L. Rajendran (2020) AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN A PLANAR, CYLINDRICAL AND SPHERICAL CELL USING WAVELET METHOD. Journal of Critical Reviews, 7 (19), 9729-9744. doi:10.31838/jcr.07.19.1077