Numerical Analysis of Oscillatory Circuit by Volterra Series

NUMERICAL SOLUTIONS OF ODEs USING VOLTERRA SERIES

We propose a numerical approach for solving systems of nonautonomous ordinary differential equations under suitable assumptions. This approach is based on expansion of the solutions by Volterra series and allows to estimate the accuracy of the approximation. Also we can solve some ordinary differential equations for which the classical numerical methods fail.

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

A Numerical Integration Method by Using Generalized Series of Functions

numerical solution of fuzzy linear volterra integral equations of the second kind by homotopy analysis method

Theory and Numerical Analysis of Volterra Functional Equations

The qualitative and quantitative analyses of numerical methods delay differential equations (DDEs) are now quite well understood, as reflected in the recent monograph by Bellen and Zennaro (2003). This is in remarkable contrast to the situation in the numerical analysis of more general Volterra functional equations in which delays occur in connection with memory terms described by Volterra inte...