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The solution of the fuzzy volterra integral equations of the second kind

Proceedings of the 10th World Congress on Intelligent Control and Automation, 2012
Fuzzy mathematical analysis and integral characteristics and composite trapezoidal formulae were used to study the solution of the Fuzzy volterra integral equations of the second kind. First, -cut method of Fuzzy set was used to transform the fuzzy integral equations into the interval number equations, then the calculation rules of the interval numbers
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A starting method for solving nonlinear Volterra integral equations of the second kind

Communications of the ACM, 1972
A fourth-order starting method is given for Volterra integral equations of the second kind and numerical examples are presented.
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The Volterra Integral Equation of Second Kind.

The American Mathematical Monthly, 1931
L. S. Kennison, Harold Thayer Davis
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On solving 2D weakly singular Volterra integral equations of the second kind

Numerical Algorithms
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yassine Chakir, Hassan Safouhi
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New Numerical Algorithm for Integrations of Volterra Integral Equations of Second Kind

DS Journal of Modeling and Simulation
This study presented a New Numerical Scheme (NNS) using a linear block algorithm for solving Volterra integro-differential equations of the second kind. The NNS was derived using a linear block algorithm and analyzed with respect to key numerical properties, including order and error constant, consistency, zero-stability, convergence, and region of ...
John Sabo   +3 more
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Solution of a class of linear Volterra integral equations of the second kind

1990
Summary: On considère la classe suivante des équations linéaires integrales de Volterra de seconde espèce: \[ x^ k \varphi(x)+\lambda \int^ x_ 0 \varphi(y) \left[ \sum^ k_{i=1} a_ ix^{k-i} (x-y)^{i-1} \right] dy=x^ kf(x). \] On transforme, en utilisant la transformation de Laplace, et on obtient l'équation différentielle d'Euler: \[ p^ kF^{(k)}-\lambda
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Generalized Integral Quadrature for Volterra Equations of the Second Kind

2003
Integral equations arise in many problems of mathematical physics. In time-dependent problems whose behavior at time t depend not only on the state at time t, but also on the states at previous times, mathematical formulation leads to Volterra equation. Initial value problems can be converted by integration into the Volterra equation.
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Solving Volterra integral equation by using a new transformation

Journal of Interdisciplinary Mathematics, 2021
Ahmed Hadi Hussain
exaly  

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