The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the...

In this paper we derive a fourth-order nonlinear partial differential equation modelling the effects of suction/blowing on the evolution of the free surface of a thin viscous film on a porous base. Gravity and surface tension effects are included. The suction/blowing is modelled as an arbitrary function vn(t, r). The Lie group classification method is used to determine a firstorder quasi-linear...

Entering engineering students’ cognitive data from high school and their non-cognitive selfbeliefs can be influential factors affecting their academic success and retention decision. Effectively modelling the relationships between these early available factors and student’s future status of persistence in engineering can be particularly valuable to improve student retention in engineering. In t...

S U M M A R Y We carry out high-frequency analyses of Claerbout’s double-square-root equation and its (numerical) solution procedures in heterogeneous media. We show that the double-square-root equation generates the adjoint of the single-scattering modelling operator upon substituting the leading term of the generalized Bremmer series for the background Green function. This adjoint operator yi...

‎the water wave generation by wave paddle and a freely falling rigid body are examined by using an incompressible smoothed particle hydrodynamics (isph)‎. ‎in the current isph method‎, ‎the pressure was evaluated by solving pressure poisson equation using a semi-implicit algorithm based on the projection scheme and the source term of pressure poisson equation contains both of divergence free ve...

We aimed to determine the factor structure and reliability for Community of Inquiry Survey in a South African Open Distance e-Learning Environment. Participants were 572 honours students. Confirmatory analysis was performed factorial structures. Structural equation modelling yielded three-factor including perceptions teaching, social, cognitive presence. The scores total scale 0.96. structures ...