[PDF] Top 20 Numerical Solutions of Volterra Integral Equations of Second kind with the help of Chebyshev Polynomials

... the polynomials are used in the approximation, which are shown in example ...of polynomials in the approximations, which is shown in Table 1 and Table ...other integral equations for the ... See full document

... solve second kind Volterra integral ...The numerical results obtained by the proposed method are in good agreement with the exact ...the numerical solutions coincide with ... See full document

... Several numerical methods for solving the nonlinear Volterra integral equations have been ...present numerical solutions for nonlinear Volterra integral ... See full document

... tegral equations convert to a linear or nonlin- ear system and by solving the system the ap- proximate solution of the integral equation will be ...Bernstein polynomials in approximation techniques ... See full document

... analytical solutions and offers certain advantages over standered numerical ...of integral equations has discussed by many authors, for examples “[4, 5, 7]”, and ...The integral ... See full document

... of integral equations. These equations also occur as reformulations of other mathematical problems such as partial differential equations and ordinary differential ...equations. ... See full document

... is the parametric form of a fuzzy number, for any x ∈ [0, 1] and ~ ∈ [ − 1.25, − 0.75]. We compare results with exact solutions (5.22) using metric of Definition 2.2 for differ- ent values of ~ by 3th-order ... See full document

... the numerical solution of singular integral equations by using Chebyshev polyno- mials of first, second, third and fourth kind to obtain systems of linear algebraic ... See full document

... the Chebyshev collocation method to solve nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by ... See full document

... of Volterra–Fredholm integral equation and in Section 3, we introduce regularization technique to transform mixed system (1) into the system of second kind integral ...a ... See full document

... nonlinear second kind of Volterra integral equations by Optimal Homotopy Asymptotic ...exact solutions of the ...the help of ... See full document

... of equations in various fields of science and ...in numerical solution of integral equations and integro differential equa- ...used. Chebyshev polynomials are considerably useful ... See full document

... by numerical examples, the method in- troduced here can be simply implemented to gen- eral nonlinear integral equations of the second ... See full document

... mixed integral equation of the first kind of type Fredholm- Volterra in position and time, ...Fredholm integral term is considered in a variable position, in the space L 2 [  1 , 1 ] , and ... See full document

... analytic solutions of Fractional Differential Equation,it is very difficult and some time impossible to deal with the complexities computations in these ... See full document

... linear volterra integro-differential equations are reduced to the standard linear volterra integral equation of the second kind in other to avoid unrealistic assumptions ... See full document

... some kind of pre- conditioner including BICGSTAB that enhances the reliability of the results so there is no more WARNING from MATLAB to solve the corresponding linear ...method, Chebyshev nodes were used ... See full document

... shev polynomials for numerical solution of a system of Cauchy type singular integral equations of the first kind on a finite ...solution. Numerical results demonstrate the ... See full document

... The Chebyshev polynomial is like a fine jewel that reveals different characteristics un- der illumination from varying positions ...of Chebyshev polynomials, specially in solving differential and ... See full document

... of Chebyshev polynomials of the second kind and of Fibonacci polynomials and derive Fourier series expansions of functions asso- ciated with ...Bernoulli polynomials and obtain ... See full document