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An integral discretization scheme on a graded mesh for a fractional differential equation with integral boundary conditions
In this paper, a fractional differential equation with integral conditions is studied. The fractional differential equation is transformed into an...
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Projection-iterated method for solving numerically the nonlinear mixed integral equation in position and time
In this work, we consider a nonlinear Volterra-Hammerstein integral equation of the second kind ( V-HIESK ). The existence of a unique solution to the...
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Investigation on the uncertainty analysis of heat meters with a novel method of integral calibration
Heat meters have become an important measurement technology in the national energy conservation and emission reduction project in meeting the...
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A natural regularization of the adsorption integral equation with Langmuir-kernel
Adsorption integral equations are used to compute adsorption energy distributions by measured total isotherms. Since these types of equations are...
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A Rayleigh–Ritz Method for Numerical Solutions of Linear Fredholm Integral Equations of the Second Kind
A Rayleigh–Ritz Method is suggested for solving linear Fredholm integral equations of the second kind numerically in a desired accuracy. To test the...
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Non-central m-point formula in method of lines for solving the Korteweg-de Vries (KdV) equation
The present study is committed to devising efficient spatial discretization with two non-central difference formulae incorporated in the method of...
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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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Hartree–Fock Equation
In many-electron system having more than two electrons, mathematical method to obtain analytical solution in Schrödinger equation has not been...
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Method of Integral Assessment of the Level of Performance Properties of Fuels and Lubricants
A simple mathematical method of predictive assessment of the level of performance properties of fuels and lubricants (FL) is described. The method...
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A path integral approach to quantum fluid dynamics: application to double well potential
In this work we develop an alternative approach for solution of Quantum Trajectories using the Path Integral method. The state-of-the-art technique...
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Calculation of Wellbore Fracture Pressure Under Multi Field Coupling Based on M-Integral of Configuration Mechanics
This paper proposes a new idea and method which is to use configuration mechanics to describe the evolution of complex microstructures and multiple...
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Certain results associated with mixed integral equations and their comparison via numerical methods
In this article, we consider existence and unique of solutions of linear mixed integral equations of third, second and first kinds. Then, we use the...
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Bivariate rational approximations of the general temperature integral
The non-isothermal analysis of materials with the application of the Arrhenius equation involves temperature integration. If the frequency factor in...
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Exact solutions of non-linear Klein–Gordon equation with non-constant coefficients through the trial equation method
In this note, we use an extension of the trial equation method (also called the direct integral method) for partial differential equations with...
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Equation of State of Periclase Based on Planck–Einstein Functions
AbstractThe paper presents an extension of the Voronin–Kutsenok method for joint description of both thermochemical and bulk data with combination of...
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Calculations of Thermodynamic Characteristics of Vapor Interlayers with the Use of Gradient and Integral Density Functional Theories and Nudged Elastic Band Method
AbstractIt has been shown that stable equilibrium density profiles found within the gradient approximation of the molecular density functional theory...
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Reaction Operator in the Main Equation of Spin Chemistry
AbstractIn our previous works, using an exactly solvable model as an example, we demonstrated the validity of the reaction operator in the basic...
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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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A numerical study on the nonlinear fractional Klein–Gordon equation
This article helps to develop a numerical approach based on Fibonacci wavelets for solving fractional Klein-Gordan equations (FKGEs). The FKGEs are...
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A Combined Equation of State for Methane, Based on Bender’s Regular Equation with a Scaling Part in Explicit Form up to 50 MPa
AbstractA combined equation of state of methane in real variables (pressure p , temperature T , density ρ) is proposed that allows calculations of...
