The solution of the fuzzy volterra integral equations of the second kind
Proceedings of the 10th World Congress on Intelligent Control and Automation, 2012Fuzzy 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
openaire +1 more source
A starting method for solving nonlinear Volterra integral equations of the second kind
Communications of the ACM, 1972A fourth-order starting method is given for Volterra integral equations of the second kind and numerical examples are presented.
openaire +3 more sources
The Volterra Integral Equation of Second Kind.
The American Mathematical Monthly, 1931L. S. Kennison, Harold Thayer Davis
openaire +1 more source
On solving 2D weakly singular Volterra integral equations of the second kind
Numerical AlgorithmszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yassine Chakir, Hassan Safouhi
openaire +3 more sources
New Numerical Algorithm for Integrations of Volterra Integral Equations of Second Kind
DS Journal of Modeling and SimulationThis 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
openaire +1 more source
Solution of a class of linear Volterra integral equations of the second kind
1990Summary: 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
openaire +2 more sources
Generalized Integral Quadrature for Volterra Equations of the Second Kind
2003Integral 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.
openaire +1 more source
Solving Volterra integral equation by using a new transformation
Journal of Interdisciplinary Mathematics, 2021Ahmed Hadi Hussain
exaly
Programme for solving a system of volterra integral equations (of the second kind)
USSR Computational Mathematics and Mathematical Physics, 1965openaire +2 more sources
Differential transform method for solving Volterra integral equation with separable kernels
Mathematical and Computer Modelling, 2008Zaid Odibat
exaly

