Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1190.35226
Srivastava, V.; Rai, K.N.
A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues. (English)
[J] Math. Comput. Modelling 51, No. 5-6, 616-624 (2010). ISSN 0895-7177

Summary: 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.

MSC 2000:: *35R11
45J05 Integro-ordinary differential equations
92C30 Physiology
65L99 Numerical methods for ODE

Keywords: capillary; fractional diffusion equation; modified Adomian decomposition method; new iterative method; hypoxia

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]