ANALYTICAL SOLUTIONS FOR LINEAR VOLTERRA AND ABEL INTEGRAL EQUATIONS OF SECOND KIND USING A POWER SERIES METHOD

Numerical method for non-linear fuzzy Volterra integral equations of the second kind

Numerical Solution of Fuzzy Linear Volterra Integral Equations of the Second Kind by Homotopy Analysis Method

Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind

Fractional powers of linear multistep methods are suggested for the numerical solution of weakly singular Volterra integral equations. The proposed methods are convergent of the order of the underlying multistep method, also in the generic case of solutions which are not smooth at the origin. The stability properties (stability region, A-stability, A(a)-stability) are closely related to those o...

A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations

This article proposes a fast and accurate expansion-iterative method for solving second kind linear Volterra integral equations. The method is based on a special representation of vector forms of triangular functions (TFs) and their operational matrix of integration. By using this approach, solving the integral equation reduces to solve a recurrence relation. The approximate solution of integra...

Evaluating the solution for second kind nonlinear Volterra Fredholm integral equations using hybrid method

In this work, we present a computational method for solving second kindnonlinear Fredholm Volterra integral equations which is based on the use ofHaar wavelets. These functions together with the collocation method are thenutilized to reduce the Fredholm Volterra integral equations to the solution ofalgebraic equations. Finally, we also give some numerical examples that showsvalidity and applica...