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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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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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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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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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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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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THE NUMERICAL METHODS FOR SOLVING NONLINEAR INTEGRAL EQUATIONS
IJRDO -JOURNAL OF MATHEMATICS, 2023 Volterra integral equations are a special type of integrative equations; they are divided into two categories referred to as the first and second type. This thesis will deal with the second type which has wide range of the applications in physics and engineering problems.
Abdel Radi +1 more
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Gr\"obner Bases and Generation of Difference Schemes for Partial Differential Equations [PDF]
, 2006 In this paper we present an algorithmic approach to the generation of fully conservative difference schemes for linear partial differential equations. The approach is based on enlargement of the equations in their integral conservation law form by extra ...
Blinkov, Yuri A. +2 more
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Projection methods for integral equations in epidemic
Mathematical Modelling and Analysis, 2002 In this paper numerical methods for mixed integral equations are presented. Studied equations arise in the mathematical modeling of the spatio‐temporal development of an epidemic.
L. Hacia
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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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