Optimal control analysis of a mathematical model of malaria and COVID-19 co-infection dynamics
Journal of Biological DynamicsIn this paper, we analyze a deterministic model of malaria and Corona Virus Disease 2019 co-infection within a homogeneous population. We first studied the single infection model of each disease and then the co-infection dynamics.
Abou Bakari Diabaté +2 more
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A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]
, 2018 In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar +2 more
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An analysis of the practical DPG method [PDF]
, 2011 In this work we give a complete error analysis of the Discontinuous Petrov Galerkin (DPG) method, accounting for all the approximations made in its practical implementation.
Gopalakrishnan, Jay, Qiu, Weifeng
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Numerical Methods for a Nonlinear BVP Arising in Physical Oceanography [PDF]
, 2013 In this paper we report and compare the numerical results for an ocean circulation model obtained by the classical truncated boundary formulation, the free boundary approach and a quasi-uniform grid treatment of the problem. We apply a shooting method to
Fazio, Riccardo, Jannelli, Alessandra
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A Class of Second Order Difference Approximation for Solving Space Fractional Diffusion Equations
, 2012 A class of second order approximations, called the weighted and shifted Gr\"{u}nwald difference operators, are proposed for Riemann-Liouville fractional derivatives, with their effective applications to numerically solving space fractional diffusion ...
Deng, Weihua, Tian, WenYi, Zhou, Han
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Solving 2^{nd} order parabolic system by simulations of Markov jump processes [PDF]
, 1999 There are known methods of approximating the solution of parabolic 2^{nd} order systems by solving stochastic differential equations instead. The main idea is based on the fact that a stochastic differential equation defines a diffusion process ...
M. Rogina, N. Limić
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Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method
, 2012 We give a systematic method for discretizing Hamiltonian partial differential equations (PDEs) with constant symplectic structure, while preserving their energy exactly. The same method, applied to PDEs with constant dissipative structure, also preserves
Celledoni, E. +6 more
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An Equation-Free Approach for Second Order Multiscale Hyperbolic Problems in Non-Divergence Form
, 2018 The present study concerns the numerical homogenization of second order hyperbolic equations in non-divergence form, where the model problem includes a rapidly oscillating coefficient function. These small scales influence the large scale behavior, hence
Arjmand, Doghonay, Kreiss, Gunilla
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A first order system least squares method for the Helmholtz equation [PDF]
, 2015 We present a first order system least squares (FOSLS) method for the Helmholtz equation at high wave number k, which always deduces Hermitian positive definite algebraic system.
Chen, Huangxin, Qiu, Weifeng
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, 2014 We present and analyze a first order least squares method for convection dominated diffusion problems, which provides robust L2 a priori error estimate for the scalar variable even if the given data f in L2 space.
Chen, Huangxin +4 more
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