Navnit Jha . Shikha Verma

Department of Mathematics, South Asian University, India, Email: navnitjha@sau.ac.in, Department of Mathematics, South Asian University, India, Email: shikhavns4@gmail.com

Received in final form on March 28, 2022

Abstract
The mathematical models depicting cancer development, distribution of heat intensity sources in the human head, and round cell oxygen diffusion with Michaelis–Menten uptake kinetic energy are dealt with the radial basis network and three-point compact discretization. The radial basis with evenly spaced grid points is applied to determine gradient approximations at the central grid and two adjacent grid points. The functional approximations and subsequent updates of gradient yield a nonlinear equation system and are easily computed to obtain the solution profile in a given domain the current formulation results in fourth-order accuracy to solution values in the presence of a singular point. The strength and precision of radial basis compact discretization are estimated for solitary boundary value problems whose analytic solutions are known. The computational results illustrate the convergence rate and absolute errors.

Keywords
Radial basis, compact discretization, singularity, human head heat conduction, convergence rate.

Cite This Article
Navnit Jha . Shikha Verma, Approximate Analytic Solution for Human Head Heat Distribution and Tumor Growth Physiological Model using Radial Basis Network Three-point Discretization, J. Innovation Sciences and Sustainable Technologies, 2(3)(2022), 147-163. https://doie.org/10.0725/JISST.2022109845

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