Results 11 to 20 of about 494,879 (330)
Algorithms, 2021 This article is concerned with the construction of approximate analytic solutions to linear Fredholm integral equations of the second kind with general continuous kernels. A unified treatment of some classes of analytical and numerical classical methods,
Efthimios Providas
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The Cardinal Spline Methods for the Numerical Solution of Nonlinear Integral Equations
Journal of Chemistry, 2020 In this study, an effective technique is presented for solving nonlinear Volterra integral equations. The method is based on application of cardinal spline functions on small compact supports.
Xiaoyan Liu +3 more
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Journal of Mathematics, 2022 This paper presents a numerical method for solving a class of the delay Volterra integral equation of nonvanishing and vanishing types by applying the local radial basis function method.
Neda Khaksari +2 more
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2011 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
M. A. AL-Jawary +7 more
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Consistency of a method of moments estimator based on numerical solutions to asset pricing models [PDF]
, 1993 This paper considers the properties of estimators based on numerical solutions to a class of economic models. In particular, the numerical methods discussed are those applied in the solution of linear integral equations, specifically Fredholm equations ...
Burnside, C.
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An Innovative Approach to Nonlinear Fractional Shock Wave Equations Using Two Numerical Methods
Mathematics, 2023 In this research, we propose a combined approach to solving nonlinear fractional shock wave equations using an Elzaki transform, the homotopy perturbation method, and the Adomian decomposition method. The nonlinear fractional shock wave equation is first
Meshari Alesemi
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On Non-Oscillating Integrals for Computing Inhomogeneous Airy Functions [PDF]
, 2000 Integral representations are considered of solutions of the inhomogeneous Airy differential equation $w''-z w=\pm1/\pi$. The solutions of these equations are also known as Scorer functions.
Gil, Amparo +2 more
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A method for the numerical integration of ordinary differential equations [PDF]
Mathematics of Computation, 1958 where y(x) denotes the solution of the differential equation. The idea is to use a quadrature formula to estimate the integral of (1). This requires knowledge of the integrand at specified arguments xi in (x0, xo + h)-hence we require the values of y(x) at these arguments.
Stoller, L., Morrison, D.
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On the Stability of Numerical Methods for Nonlinear Volterra Integral Equations
Discrete Dynamics in Nature and Society, 2010 Here we investigate the behavior of the analytical and numerical solution of a nonlinear second kind Volterra integral equation where the linear part of the kernel has a constant sign and we provide conditions for the boundedness or decay of solutions ...
E. Messina +3 more
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Alexandria Engineering Journal, 2019 The present work focuses on formulating a numerical scheme for approximation of Volterra integral equations with highly oscillatory Bessel kernels. The application of Laplace transform reduces integral equations into algebraic equations.
Marjan Uddin, Muhammad Taufiq
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