[PDF] Top 20 Numerical Implementation of Triangular Functions for Solving a Stochastic Nonlinear Volterra-Fredholm Integral Equation

... intrinsically nonlinear equations, involving stochastic excitations of a Gaussian white noise ...by stochastic equations, or in more complicated cases, described by stochastic integral ... See full document

... For nonlinear determinate Volterra integral equations, Maleknejad et ...pulse functions and Legendre polynomials to solve those ...employed triangular functions to get the ... See full document

... the nonlinear Fredholm integral equation to an optimal control problem and then used a linear programming to solve the ...Orthogonal functions and polynomials receive at- tention in ... See full document

... decades, numerical methods in Electromagnetics have been the subject of extensive researches ...by integral and integro-differential equations (see [12–21]); for example, electric field integral ... See full document

... he nonlinear and linear Volterra-Fredholm ordinary integral equations arise from vari- ous physical and biological ...two-dimensional nonlinear and linear ... See full document

... new numerical method based on triangular functions for solving nonlinear stochastic differential equations is ...the stochastic operational matrix of triangular ... See full document

... a Volterra or Fredholm integral equa- tion of the second kind to a set of algebraic equa- ...for solving second kind integral equa- ... See full document

... [6], integral equations [3,5], integro- differential equations [4], Nonlinear Constrained Opti- mal Control Problems [9], and Volterra-Fredholm integral equations ... See full document

... for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series of well known Block-Pulse ... See full document

... is Fredholm integral term and second integral in ...is Volterra integral ...Several numerical methods have been applied for solving nonlinear ... See full document

... many numerical methods for ap- proximating the solution of Fredholm and Volterra integral equations are used, such a triangular orthogonal functions where the authors use a ... See full document

... 4. Fredholm integral equation of the second kind. In this section, the general solution of Fredholm integral equation of the second kind is obtained. Also the math- ematical ... See full document

... 2 M. Domingo Montesinos, A. I. Garralda Guillem, and M. Ruiz Gal´an, “Fredholm integral equations and Schauder bases,” in VIII Journ´ees Zaragoza-Pau de Math´ematiques Appliqu´ees et de Statistiques, vol. ... See full document

... We establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility ... See full document

... and integral inequalities occupy a very privileged position in the theory of differential and integral ...years nonlinear integral inequalities have received considerable attention because of ... See full document

... The Volterra integral equations are used in many problems of physics such as, the particle transport problems of astrophysics, potential theory and Dirichle problem, electrostatic and radiative heat ... See full document

... basis functions, such as block pulse functions, Walsh func- tions, Fourier series, orthogonal polynomials and wavelets, were used to estimate solutions of functional ...processing, numerical ... See full document

... This integral equation has been solved by an approximate method in [7] and the exact solution of this integral equation is u x ( ) 2sin ... See full document

... The Legendre wavelet operational matrix P, together with the integration of the product of two Legendre wavelet vectors functions, are utilized to solve the integral equation. The present method ... See full document

... the nonlinear fractional differential equation ...two functions ψ , φ : [, ∞ ) → [, ∞ ) with ψ is an altering distance function and φ is a continuous function such that ψ(t) < t for all t >  ... See full document