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
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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.
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Advanced Engineering Materials, EarlyView.This study presents a multimodal characterization method for a prototype metamaterial model structure that features four distinct states of mechanical stiffness and electrical resistivity. Through simulations and experiments, it uncovers insights into the structural behavior, the correlation between changes in electrical resistivity and mechanical ...
Rebecca Kose +3 more
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Analysis of a non-integer order mathematical model for double strains of dengue and COVID-19 co-circulation using an efficient finite-difference method. [PDF]
Sci Rep, 2023 Obiajulu EF +7 more
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Solution of the Cauchy problem and the mixed problem for degenerating second order hyperbolic equations by the method of finite differences [PDF]
, 1968 Jiří Kopáček
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Comparative Study of Experimental Methods for Measuring Thermal Properties of 100Cr6 Steel Powders
Advanced Engineering Materials, EarlyView.This study investigates the thermal properties of 100Cr6 steel in both bulk and powder forms. Measuring the very low thermal conductivity typically exhibited by powders poses significant challenges. To address this, two novel measurement techniques—temperature gradient and finite laser pulse response—are introduced and evaluated by comparison with the ...
Junsheng Zhuo +8 more
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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
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Second-order robust finite difference method for singularly perturbed Burgers' equation. [PDF]
Heliyon, 2022 Kabeto MJ, Duressa GF.
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Advanced Engineering Materials, EarlyView.Fe–12Mn–0.2C medium‐manganese steel is processed by laser‐based powder bed fusion of metals using blended as well as pre‐alloyed powder. Various scanning speeds are used to determine the influence of energy deposition rate on microstructure and mechanical properties.
Leoni Hübner +4 more
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Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations. [PDF]
BMC Res Notes, 2021 Kabeto MJ, Duressa GF.
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