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Now showing items 21-27 of 27
The effect of maps permutation on the global attractor of a periodic Beverton-Holt model
(Elsevier, 2020-04-01)
Consider a p-periodic difference equation xn+1 = fn(xn) with a global attractor. How does a permutation [fσ(p−1), . . . , fσ(1), fσ(0)] of the maps affect the global attractor? In this paper, we limit this general question ...
Using Fractional Bernoulli Wavelets for Solving Fractional Diffusion Wave Equations with Initial and Boundary Conditions
(MDPI, 2021)
In this paper, fractional-order Bernoulli wavelets based on the Bernoulli polynomials are constructed and applied to evaluate the numerical solution of the general form of Caputo fractional order diffusion wave equations. ...
Analytical study and parameter-sensitivity analysis of catalytic current at a rotating disk electrode
(IOP Publishing, 2020)
A convective-diffusion equation with semi-infinite boundary conditions for rotating disk electrodes under the hydrodynamic conditions is discussed and analytically solved for electrochemical catalytic reactions. The ...
A projection scheme for phase change problems with convection
(Elseiver, 2022-01)
Numerical modeling of phase change problems with convection is known to be computationally expensive. The main challenge comes from the coupling between Navier–Stokes and heat energy equations. In this paper, we develop a ...
Efficiency of semi-implicit alternating direction implicit methods for solving cardiac monodomain model
(Elsevier, 2021-01)
It is well known that numerical simulations of the cardiac monodomain model require fine mesh resolution, which increases the computational resources required. In this paper, we construct three operator-splitting alternating ...
Efficiency of parallel anisotropic mesh adaptation for the solution of the bidomain model in cardiac tissue
(Elsevier, 2022-04)
Electrocardiology models are nonlinear reaction–diffusion type systems, where the numerical simulation requires extremely fine meshes to accurately compute the heart’s electrical activity. Anisotropic mesh adaptation methods ...
A Simulation Study of the Role of Mechanical Stretch in Arrhythmogenesis during Cardiac Alternans
(Biophysical Society, 2021-01)
The deformation of the heart tissue due to the contraction can modulate the excitation, a phenomenon referred to as mechanoelectrical feedback (MEF), via stretch-activated channels. The effects of MEF on the electrophysiology ...