Work

Numerical solution of a new mathematical model for intravenous drug administration

Year: 2023
Type: article
Abstract: We develop and analyze a new mathematical model for intravenous drug administration and the associated diffusion process. We use interval analysis to obtain a system of weakly singular Volterra integral equations over ordinary functions. We then use the operational method based on Chebyshev polynomials for obtaining an approximate solution of the numerical form. We show that for a certain class of fuzzy number valued functions, their generalized Hukuhara derivatives can be reduced to the derivatives of ordinary real-valued functions. By using our approach, we are able to estimate numerical solutions very accurately.
Language: English
Open Access status: hybrid
Estimated APC paid: $2,990
OpenAlex ID: W4362606402
FWCI: 4.652
Cites: 34
Cited by: 30
Related to: 10