In this study, a numerical solution of singular nonlinear differential equations, stemming from biology and physiology problems, is proposed. The methodology is based on the shifted Chebyshev polynomials operational matrix of derivative and collocation. To assess the accuracy of the method, five numerical problems, such as the human head, Oxygen diffusion and Bessel differential equation, were ...

in the present article, we focus on the numerical approximation of stochastic partial differential equations of itˆo type with space-time white noise process, in particular, parabolic equations. for each case of additive andmultiplicative noise, the numerical solution of stochastic diffusion equations is approximated using two stochastic finite difference schemes and the stability and consisten...

In this paper, the exponential B-spline functions are used for the numerical solution of the advection-diffusion equation. Two numerical examples related to pure advection in a finitely long channel and the distribution of an initial Gaussian pulse are employed to illustrate the accuracy and the efficiency of the method. Obtained results are compared with some early studies.

Based on Fluent software, a mathematical model of thermosyphon pump is established and numerical simulation carried out to study the influence riser tube length, diameter immersion ratio liquid lifting capacity efficiency. The results showed that: volume increased with increase ratio, whereas efficiency trend increasing followed by decreasing. highest for 340mm long, 6mm achieved when 0.35. Wit...

The paper studied the processes represented by a system of equations particular product parabolic type. For solution mutual diffusion problems, evaluations were obtained according to environmental parameters and dimensions space. Computational schemes, algorithms, software packages in programming environments developed, solutions visualized solve problems.