Pointwise bounds for a nonlinear heat conduction model of the human head

On the convergence of a fourth-order method for a class of singular boundary value problems

“…The results are displayed in Table 1. Two physiological problems, the oxygen diffusion problem in a spherical cell and the nonlinear heat-conduction model of a human head, have also been solved and the results are in good agreement with those of [4,7].…”

On solvability of derivative dependent doubly singular boundary value problems

“…Such problems arise very frequently in applied sciences [5,6,11] and also in physiological studies ( [1][2][3]9] and references as there in). In case f is independent of y , existence-uniqueness results have been established by several researchers [7, 12-14, 16, 20].…”

An efficient wavelet based spectral method to singular boundary value problems

“…Example 3.1 Now we consider the nonlinear singular boundary value problem which arises in the study of distribution of heat sources in the human head [2]. This is also known as Emden-Fowler equation of the second kind.…”

“…If we select a root r = 2− Example 3.2 We consider the above nonlinear singular boundary value problem [2] with different boundary conditions ( Fig. 1; Table 1)…”

“…The numerical study of singular boundary value problems arising in various physical models has been done by many authors [1][2][3][4][5][6][7][8][9][10][11] and a variety of methods have been introduced to solve such singular boundary B G. Hariharan hariharang2011@gmail.com 1 Department of Mathematics, School of Humanities and Sciences, SASTRA University, Thanjavur, Tamilnadu 613 401, India value problems [2,3,5,[8][9][10]. Although, these numerical methods have many advantages, but a huge amount of computational work is needed.…”