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Generalized Boundary Integral Equation Method for Boundary Value Problems of Two-D Isotropic Lattice Laplacian
A generalized boundary integral equation method for boundary value problems of two-dimensional isotropic lattice Laplacian is proposed in this paper....
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Integral Transform Method for Solving Inhomogeneous Heat Equation with Mixed Boundary Conditions
The inhomogeneous heat equation for a semi-infinite cylindrical solid body with mixed boundary conditions of the first and second kinds on the...
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A Method for Solving the Fredholm Integral Equation of the First Kind
The paper considers a numerical method for solving the Fredholm integral equation of the first kind. The essence of the method is to replace the...
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Integral equation method for the 1D steady-state Poisson-Nernst-Planck equations
An integral equation method is presented for the 1D steady-state Poisson-Nernst-Planck equations modeling ion transport through membrane channels....
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An Iterative Scheme for Solving a Lippmann–Schwinger Nonlinear Integral Equation by the Galerkin Method
AbstractThe purpose of this study is to solve a nonlinear integral equation describing the propagation of electromagnetic waves in a body located in...
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Parallel volume integral equation method for three-dimensional multiple inclusion problems
In this paper, the volume integral equation method (VIEM) is introduced for the analysis of multiple isotropic/anisotropic inclusions (or...
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A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition
ObjectivesIn this paper, a uniformly convergent numerical scheme is proposed for solving a singularly perturbed Fredholm integro-differential...
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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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Block-by-block method for solving non-linear Volterra integral equation of the first kind
In this paper, we focus on the numerical solution of the non-linear Volterra integral equation of the first kind. We start by converting its form to...
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A new computational method-based integral transform for solving time-fractional equation arises in electromagnetic waves
In this paper, the He–Elzaki transform method (HEM) is proposed. The method is formulated by combining He’s variation iteration method and the...
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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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Boubaker operational matrix method for solving fractional weakly singular two-dimensional partial Volterra integral equation
The aim of the present paper is to suggest a novel technique based on the operational matrix approach for solving a fractional weakly singular...
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Analyses of the Contour Integral Method for Time Fractional Normal-Subdiffusion Transport Equation
In this work, we theoretically and numerically discuss a class of time fractional normal-subdiffusion transport equation, which depicts a crossover...
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Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients
In this paper, the modified integral equation, namely, Elzaki transformation coupled with the Adomian decomposition method called Elzaki Adomian...
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Convergence of the Projection-Difference Method for the Approximate Solution of a Smoothly Solvable Parabolic Equation with a Weighted Integral Condition
We search for an approximate solution of an abstract linear parabolic equation in a Hilbert space with a nonlocal weighted integral condition by the...
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Oversampling collocation method for the Volterra integral equation with contaminated data
In this paper, an oversampling collocation method based on shifted generalized Jacobi functions as a set of basis is proposed to find the numerical...
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Study of stress wave propagation across a non-persistent joint based on a boundary integral equation method
Studies on stress wave propagation across persistent joints have been conducted extensively. Nevertheless, there exists a consensus that...
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The Method of Integral Transformations for Solving Boundary-Value Problems for the Heat Conduction Equation in Limited Areas Containing a Moving Boundary
A method of integral transformations for solving the boundary-value problems for the equation of heat conduction in limited regions containing a...
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Integral Equations and Integral Transforms
This comprehensive textbook on linear integral equations and integral transforms is aimed at senior undergraduate and graduate students of...
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Numerical approximation of nonlinear stochastic Volterra integral equation based on Walsh function
This paper adopts a highly effective numerical approach for approximating non-linear stochastic Volterra integral equations (NLSVIEs) based on the...
