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Collocation-based numerical simulation of fractional order Allen–Cahn equation
This article looks for a reliable numerical technique to solve the Allen–Cahn equation using the Caputo time-fractional derivative. The fractional...
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Exact solutions for travelling waves using Tanh method for two dimensional stochastic Allen–Cahn equation with multiplicative noise
The research outlined here focuses on the hyperbolic tangent (tanh) method for deriving analytical solutions for travelling wave to the...
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Performance Benchmark of Cahn–Hilliard Equation Solver with Implementation of Semi-implicit Fourier Spectral Method
The performance scaling issue of phase-field simulation is one that must be overcome to perform realistic large-scale three-dimensional prediction....
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Numerical Modeling of the Solid-State Sintering Process by Coupling the Thermal and Microstructural Fields
A multiphysics model based on coupling heat transfer and phase field problems for simulating the thermal and microstructural behavior of the...
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Temporal Growth and Aging of ZnO Nanoparticles in Colloidal Solution: Phase Field Model
The temporal growth and aging of ZnO nanoparticles (NP's) in colloidal solution were investigated both experimentally and theoretically. UV–Vis...
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Wavelet method for steady state immobilized enzyme kinetic model: an operational matrix approach
This paper discusses a mathematical model of the diffusion and reaction in amperometric biosensor response with immobilized enzyme electrodes within...
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A brief on the application of multiphase lattice Boltzmann method for boiling and evaporation
Lattice Boltzmann method (LBM), a mesoscopic approach for numerical simulation of flow and thermal fields, is increasingly being applied to solve...
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An efficient wavelet-based method for the numerical solutions of nonlinear coupled reaction–diffusion equations in biochemical engineering
The theoretical model of Saranya et al. (Bioprocess Biosyst Eng 41:281–294,
2017 ) glucose oxidation and hydrogen peroxide production in the...
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Phase Behaviors of Soft-core Particle Systems
This paper reviews some of our recent works on phase behaviors of particulate systems with a soft-core interaction potential. The potential is purely...
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Molecular dynamics and phase behavior of polystyrene/poly(vinyl methyl ether) blend in the presence of nanosilica
The variation of phase morphology, critical temperature of demixing, and molecular dynamics for polystyrene/poly(vinyl methyl ether) (PS/PVME) blends...
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Plasticity Mechanism for Glassy Polymers: Computer Simulation Picture
This review summarizes the data published over the past two and a half decades on the mechanism of plastic deformation of bulk isotropic linear...
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Spectral properties and photophysical behaviour of water soluble cationic Mg(II) and Al(III) phthalocyanines
Peripherally and non-peripherally tetrasubstituted-[(N-methyl-2-pyridylthio)]phthalocyaninato magnesium (II) ( 5 and 6 ) and chloro aluminium (III) ( 7 ...
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The wavelet methods to linear and nonlinear reaction–diffusion model arising in mathematical chemistry
In this paper, we have applied an accurate and efficient wavelet scheme (due to Legendre polynomial) to find the numerical solutions for a set of...
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Wavelet method to film-pore diffusion model for methylene blue adsorption onto plant leaf powders
In this paper, we have developed an accurate and efficient Haar wavelet method to solve film-pore diffusion model. Film-pore diffusion model is...
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Haar wavelet method for solving some nonlinear Parabolic equations
Wavelet transform or wavelet analysis is a recently developed mathematical tool in applied mathematics. In this paper, we develop an accurate and...
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Plutonium
The element plutonium occupies a unique place in the history of chemistry, physics, technology, and international relations. After the initial...
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Formation and control of Turing patterns and phase fronts in photonics and chemistry
We review the main mechanisms for the formation of regular spatial structures (Turing patterns) and phase fronts in photonics and chemistry driven by...
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Kinetics of phase transitions in two dimensional Ising models studied with the string method
The kinetics of phase transitions in the two dimensional Ising model under different conditions is studied using the string method. The key idea is...
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Plutonium
The element plutonium occupies a unique place in the history of chemistry, physics, technology, and international relations. After the initial...
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Monte Carlo Simulations of Semicrystalline Polyethylene: Interlamellar Domain and Crystal-Melt Interface
The interlamellar domain of semicrystalline polyethylene is studied by means of off-lattice Metropolis Monte Carlo simulations using a realistic...