Numerical Investigation of the Fully Damped Wave-Type Magnetohydrodynamic Flow Problem
MathematicsMagnetohydrodynamic (MHD) flow plays a crucial role in various applications, ranging from nuclear fusion devices to MHD pumps. The mathematical modeling of such flows involves convection–diffusion-type equations, with fluid velocity governed by the ...
Seda Demir, Harun Selvitopi
doaj +1 more source
Radial Basis Function Finite Difference Method Based on Oseen Iteration for Solving Two-Dimensional Navier-Stokes Equations. [PDF]
Entropy (Basel), 2023 Mu L, Feng X.
europepmc +1 more source
Advanced Functional Materials, EarlyView.Mg‐based thermoelectrics are among the most promising candidates for power generation applications but their performance is compromised by Mg loss at device operation temperatures due to the higher chemical potential of Mg (μMg${\mu}_{\mathrm{Mg}}$) inside the material compared to the environment.
Aryan Sankhla +2 more
wiley +1 more source
Successive and Finite Difference Method for Gray Scott Model
Science Journal of University of Zakho, 2013 In this paper, Gray-Scott model has been solved numerically for finding an approximate solution by Successive approximation method and Finite difference method.
Saad A. Manaa, Joli Rasheed
doaj
A finite difference method for fractional diffusion equations with Neumann boundary conditions
Open Mathematics, 2015 A finite difference numerical method is investigated for fractional order diffusion problems in one space dimension. The basis of the mathematical model and the numerical approximation is an appropriate extension of the initial values, which incorporates
Szekeres Béla J., Izsák Ferenc
doaj +1 more source
A fourth-order arithmetic average compact finite-difference method for nonlinear singular elliptic PDEs on a 3D smooth quasi-variable grid network. [PDF]
MethodsX, 2023 Jha N, Singh B.
europepmc +1 more source
Finite Difference Approximation for Linear Stochastic Partial Differential Equations with Method of Lines [PDF]
A stochastic partial differential equation, or SPDE, describes the dynamics of a stochastic process defined on a space-time continuum. This paper provides a new method for solving SPDEs based on the method of lines (MOL).
McDonald, Stuart
core +1 more source
Three‐dimensional Antimony Sulfide Based Flat Optics
Advanced Functional Materials, EarlyView.This work presents the development of a grayscale electron beam lithography (g‐EBL) method for fabricating antimony trisulfide (Sb2S3) nanostructures with customizable 3D profiles. The refractive index of g‐EBL patterned Sb2S3 is determined based on the synergy of genetic algorithm and transfer matrix method.
Wei Wang +18 more
wiley +1 more source
Chebyshev Finite Difference Method for Fractional Boundary Value Problems
Journal of Mathematical Extension, 2015 This paper presents a numerical method for fractional differential equations using Chebyshev finite difference method. The fractional derivatives are described in the Caputo sense.
Boundary
doaj
An Iterative Finite Difference Method for Solving Nonlinear Gordon-Type Problems
MathematicsThis paper introduces an enhanced Iterative Finite Difference (IFD) method for efficiently solving strongly nonlinear, time-dependent problems. Extending the original IFD framework for nonlinear ordinary differential equations, we generalize the approach
Mohamed Ben-Romdhane, Helmi Temimi
doaj +1 more source