Duality Theory in Filtering Problem for Discrete Volterra Equations

Filtering Problem for Discrete Volterra Equations with Combined Disturbances

A minimax filtering problem for discrete Volterra equations with combined noise models is considered. The combined models are defined as the sums of uncertain bounded deterministic functions and stochastic white noises. However the corresponding variational problem turns out to be very difficult for direct solution. Therefore simplified filtering algorithms are developed. The levels of nonoptim...

Discrete Collocation Method for Solving Fredholm Volterra Intergro-Differential Equations

Numerical Solution of Volterra-Fredholm Integral Equations with The Help of Inverse and Direct Discrete Fuzzy Transforms and Collocation Technique

Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations

In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration method for numerical solution of the nonlinear Volterra-Fredholm integral equations. The reliability and efficiency of the proposed scheme are...

A meshless method for optimal control problem of Volterra-Fredholm integral equations using multiquadratic radial basis functions

In this paper, a numerical method is proposed for solving optimal control problem of Volterra integral equations using radial basis functions (RBFs) for approximating unknown function. Actually, the method is based on interpolation by radial basis functions including multiquadrics (MQs), to determine the control vector and the corresponding state vector in linear dynamic system while minimizing...