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On Montessus de Ballore’s theorem for simultaneous Padé-Faber approximants

Bosuwan N.

Demonstratio Mathematica

2018

Vol. 51, nr 1

45--61

We consider row sequences of vector valued Padé-Faber approximants (simultaneous Padé-Faber approximants) and prove a Montessus de Ballore type theorem. Moreover, we provide a comparison between this new Montessus de Ballore type theorem and the Montessus de Ballore type theorem in Bosuwan (Math. Notes, 2018, 103).

Thermal ignition in a reactive viscous plane-Poiseuille flow: a bifurcation study

Makinde O. D.

Computer Assisted Mechanics and Engineering Sciences

2005

Vol. 12, No. 1

1-7

Thermal ignition for a reactive viscous flow between two symmetrically heated walls is investigated. The second order nonlinear boundary value problem governing the problem is obtained and solved analytically using a special type of Hermite-Pade approximation technique. We obtained very accurately the critical conditions for thermal ignition together with the two solution branches. It has been observed that an increase in viscous heating due to viscous dissipation can cause a rapid decrease in the magnitude of thermal ignition critical conditions.