Results 61 to 70 of about 8,808,665 (333)

Dissipativity of numerical schemes [PDF]

Nonlinearity, 1991
The authors show that the way in which finite differences are applied to the nonlinear term in certain partial differential equations (PDES) can mean the difference between dissipation and blow up. For fixed parameter values and arbitrarily fine discretizations they construct solutions which blow up in finite time for two semi-discrete schemes.
C Foias, M S Jolly, I G Kevrekidis, E S Titi   +3 more
openaire   +1 more source

A Higher-Order Numerical Scheme for Two-Dimensional Nonlinear Fractional Volterra Integral Equations with Uniform Accuracy

, 2022
In this paper, based on the modified block-by-block method, we propose a higher-order numerical scheme for two-dimensional nonlinear fractional Volterra integral equations with uniform accuracy. This approach involves discretizing the domain into a large
Zi-Qiang Wang, Jun-Ying Cao, Qin Liu
core   +1 more source

Mathematical Modelling of Tuberculosis Outbreak in an East African Country Incorporating Vaccination and Treatment

Computation, 2023
In this paper, we develop a deterministic mathematical epidemic model for tuberculosis outbreaks in order to study the disease’s impact in a given population.
Kayode Oshinubi, Olumuyiwa James Peter, Emmanuel Addai, Enock Mwizerwa, Oluwatosin Babasola, Ifeoma Veronica Nwabufo, Ibrahima Sane, Umar Muhammad Adam, Adejimi Adeniji, Janet O. Agbaje   +9 more
doaj   +1 more source

Blood Flow in Multi-Sinusoidal Curved Passages with Biomimetic Rheology: An Application of Blood Pumping

Mathematics, 2022
The unsteady flow of biological liquid through non-uniform pumps under porosity impacts is considered. The Jeffrey fluid is used as blood in the current study, which is also characterized as viscoelastic fluid because of its dual characteristics: on the ...
Gamal Hassan Sewify, Khurram Javid, Muhammad Adeel, Aamar Abbasi, Sami Ullah Khan, Mohamed Omri, Lioua Kolsi   +6 more
doaj   +1 more source

Simulations of Compressible, Diffusive, Reactive Flows with Detailed Chemistry Using a High-Order Hybrid WENO-CD Scheme [PDF]

, 2012
A hybrid weighted essentially non-oscillatory (WENO)/centered-difference (CD) numerical method, with low numerical dissipation, high-order shock-capturing, and structured adaptive mesh refinement (SAMR), has been developed for the direct numerical ...
Ziegler, John Lewis (Jack)
core   +1 more source

Efficient numerical scheme for a dendritic solidification phase field model with melt convection

Journal of Computational Physics, 2019
In this paper, we consider numerical approximations for a dendritic solidification phase field model with melt convection in the liquid phase, which is a highly nonlinear system that couples the anisotropic Allen-Cahn type equation, the heat equation ...
Chuanjun Chen, Xiaofeng Yang
semanticscholar   +1 more source

Numerical schemes for G-Expectations

Electronic Journal of Probability, 2012
Electronic Journal of Probability ...
openaire   +4 more sources

Explicit Solution of the Time Domain Volume Integral Equation Using a Stable Predictor-Corrector Scheme [PDF]

, 2012
An explicit marching-on-in-time (MOT) scheme for solving the time domain volume integral equation is presented. The proposed method achieves its stability by employing, at each time step, a corrector scheme, which updates/corrects fields computed by the ...
Bağcı, H, Benson, Trevor, Sewell, P, Vukovic, A, Al Jarro, Ahmed, Bagci, Hakan, Al-Jarro, A, Benson, TM, Salem, MA, Salem, Mohamed, Sewell, Phillip D., Vuković, Ana   +11 more
core   +1 more source

Fractional-Calculus Analysis of the Dynamics of a Vector-Borne Infection with Preventive Measures

Fractal and Fractional
Vector-borne infections pose serious public health challenges due to the complex interplay of biological, environmental, and social factors. Therefore, comprehensive approaches are essential to mitigate the burden of vector-borne infections and minimize ...
Rashid Jan, Salah Boulaaras, Asma Alharbi, Normy Norfiza Abdul Razak   +3 more
doaj   +1 more source

On System of Variable Order Nonlinear p-Laplacian Fractional Differential Equations with Biological Application

Mathematics, 2023
The study of variable order differential equations is important in science and engineering for a better representation and analysis of dynamical problems. In the literature, there are several fractional order operators involving variable orders.
Hasib Khan, Jehad Alzabut, Haseena Gulzar, Osman Tunç, Sandra Pinelas   +4 more
doaj   +1 more source