The approximate solution of Volterra integral equations
Journal of Approximation Theory, 1975 AbstractHuffstutler and Stein and recently Bacopoulos and Kartsatos have dealt with the problem of best approximation by polynomials of the solutions of nonlinear differential equations. The purpose of the present paper is to generalize their results and to show that they can be established under a weaker set of conditions.
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Time-stepping methods for Volterra-Fredholm integral equations [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2003 The semidiscretization in space of Volterra-Fredholm integral equations (arising, for example, as mathematical models of the spreading of epidemics) leads to large systems of Volterra integral equations.
Hermann Brunner, Eleonora Messina
doaj
A Novel Third Order Numerical Method for Solving Volterra Integro-Differential Equations
, 2016 In this paper we introduce a numerical method for solving nonlinear Volterra integro-differential equations. In the first step, we apply implicit trapezium rule to discretize the integral in given equation.
Bhalekar, Sachin, Patade, Jayvant
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A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application
Journal of Applied Mathematics, 2014 We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
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An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations. [PDF]
Entropy (Basel), 2020 Mohammad M, Trounev A, Cattani C.
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Asymptotic analysis of a volterra integral equation
Applied Mathematics Letters, 1988 A Volterra integral equation of the form \(u(t)=\epsilon \int^{t}_{0}[\pi (t-s)]^{-1/2}F(u(s),s)ds\) is considered where \(F(0,t)\sim c_ 0t^{-r_ 0}\) and \(F_ u(0,t)\sim -c_ 1t^{-r_ 1}\) as \(t\to +\infty\) and \(r_ ...
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Some problems in nonlinear Volterra integral equations [PDF]
, 1962 John A. Nohel
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Error bounds for an approximate solution to the Volterra integral equation [PDF]
, 1960 John Hilzman
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Nonlinear Volterra integral equations with positive definite kernels [PDF]
, 1975 Olof J. Staffans
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Asymptotic solutions of linear Volterra integral equations with singular kernels [PDF]
, 1974 J. S. W. Wong, R. Wong
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