[HTML][HTML] A combination of proper orthogonal decomposition–discrete empirical interpolation method (POD–DEIM) and meshless local RBF-DQ approach for …

M Dehghan, M Abbaszadeh - Computers & Mathematics with Applications, 2018 - Elsevier
The main presented idea is to reduce the used CPU time for employing the local radial basis
functions-differential quadrature (LRBF-DQ) method. To this end, the proper orthogonal …

[HTML][HTML] Analysis and application of the interpolating element free Galerkin (IEFG) method to simulate the prevention of groundwater contamination with application in …

M Abbaszadeh, M Dehghan, A Khodadadian… - … of Computational and …, 2020 - Elsevier
We develop a meshless numerical procedure to simulate the groundwater equation (GWE).
The used technique is based on the interpolating element free Galerkin (IEFG) method. The …

Numerical simulation based on a combination of finite-element method and proper orthogonal decomposition to prevent the groundwater contamination

M Dehghan, B Hooshyarfarzin… - Engineering With …, 2022 - Springer
In this paper, the coupled advection-dominated diffusion-reaction equations which arise in
the prevention of groundwater contamination problem are approximated by usual finite …

A modified semi–implicit Euler–Maruyama scheme for finite element discretization of SPDEs with additive noise

GJ Lord, A Tambue - Applied Mathematics and Computation, 2018 - Elsevier
We consider the numerical approximation of a general second order semi–linear parabolic
stochastic partial differential equation (SPDE) driven by additive space-time noise. We …

Strong convergence analysis of the stochastic exponential Rosenbrock scheme for the finite element discretization of semilinear SPDEs driven by multiplicative and …

JD Mukam, A Tambue - Journal of Scientific Computing, 2018 - Springer
In this paper, we consider the numerical approximation of a general second order semilinear
stochastic spartial differential equation (SPDE) driven by multiplicative and additive noise …

[HTML][HTML] A note on exponential Rosenbrock–Euler method for the finite element discretization of a semilinear parabolic partial differential equation

JD Mukam, A Tambue - Computers & Mathematics with Applications, 2018 - Elsevier
In this paper, we consider the numerical approximation of a general second order semilinear
parabolic partial differential equation. Equations of this type arise in many contexts, such as …

[PDF][PDF] Convergence and applications of the implicit finite difference method for advection-diffusion-reaction equations

K Pananu, S Sungnul, S Sirisubtawee… - … International Journal of …, 2020 - iaeng.org
In this paper, we analyze the convergence of the finite difference method with the implicit
forward time central space (FTCS) scheme for the two-dimensional advectiondiffusion …

A fitted multi-point flux approximation method for pricing two options

RS Koffi, A Tambue - Computational Economics, 2020 - Springer
In this paper, we develop novel numerical methods based on the multi-point flux
approximation (MPFA) method to solve the degenerated partial differential equation (PDE) …

Strong convergence of the linear implicit Euler method for the finite element discretization of semilinear SPDEs driven by multiplicative or additive noise

A Tambue, JD Mukam - Applied Mathematics and Computation, 2019 - Elsevier
This paper aims to investigate the numerical approximation of a general second order
parabolic stochastic partial differential equation (SPDE) driven by multiplicative or additive …

Optimal strong convergence rates of some Euler-type timestepping schemes for the finite element discretization SPDEs driven by additive fractional Brownian motion …

AJ Noupelah, A Tambue - Numerical Algorithms, 2021 - Springer
In this paper, we study the numerical approximation of a general second order semilinear
stochastic partial differential equation (SPDE) driven by a additive fractional Brownian …