A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues

V Srivastava,K.N Rai

doi:10.1016/j.mcm.2009.11.002

A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues

V Srivastava, K.N Rai

https://doi.org/10.1016/j.mcm.2009.11.002

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Journal: Mathematical and Computer Modelling	Publication Date: Nov 17, 2009
Citations: 70	License type: elsevier-specific: oa user license

Affiliation: Banaras Hindu University

#Multi-term Fractional Diffusion Equation #Modified Adomian Decomposition Method + Show 8 more

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Abstract

In this article, we propose a new mathematical model, namely a multi-term fractional diffusion equation, for oxygen delivery through a capillary to tissues. Fractional calculus is applied to describe the phenomenon of subdiffusion of oxygen in both transverse and longitudinal directions. A new iterative method (NIM) and a modified Adomian decomposition method (MDM) are used to solve the multi-term fractional diffusion equation for different conditions. The results thus obtained are compared and presented graphically. It is observed that the order of the diffusion equation affects the delivery of oxygen significantly.

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