[PDF] Top 20 Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind

... the nonlinear Volterra integral equation are consi- dered in [1]-[4] ...and numerical methods have been proposed for solving this type of equa- tions, such as the linearization and ... See full document

... and nonlinear problems in various ...others methods to deals such type of problems with easy way and less ...analytical methods for solving such type of problems as we have; Homotopy Perturbation ... See full document

... variational iteration [19, 20], modified variational iteration [21], differential transform [22], shifted Jacobi spectral method [23], Taylor matrix method [24], Adomian decomposition [1, 25, 26], and ... See full document

... This research will focus on finding the best method between Chebyshev polynomials and Adomian decomposition method in solving nonlinear Volterra integral equations of second ... See full document

... of nonlinear Volterra integral equations of second kind and Newton's method is applied to linearize ...the numerical method are ... See full document

... and nonlinear Volterra integral equations of the second ...converting integral equation of the first kind to a linear equation of the second kind and the ... See full document

... and nonlinear Volterra integral equations of the second kind in the case when the independent variable belongs to an arbitrary noncompact metric ...of Volterra-type ... See full document

... of nonlinear Volterra integral ...by Volterra to solving variable boundary integral equations is popular among numerical methods for the solution of such ...a ... See full document

... solve Volterra integral ...solving integral equations. Muhammad and Mori proposed a numerical method of indefinite integration based on the DE transforma- tion together with Sinc ... See full document

... for Volterra-Hammerstein integral equations. The methods in Kumar et ...given integral equation into a system of non-linear equations, which has to be solved with some ... See full document

... 19, 20, 21, 22, 23]. In [16] the HAM has been used for solving linear integral equations of the second kind. The paper is organized as follows. In Sec- tion 2, the HAM is briefly presented. In ... See full document

... integro-differential equations has been studied by Maleknejad and Mahmoudi ...traditional methods for solving nonlinear integral ...powerful methods has been presented, such as the ... See full document

... “smooth”) Volterra integral equations of the first kind belong to the class of well-posed problems and hence can be solved through any direct method based on the discretization of the unknown ... See full document

... Fredholm integral equations to the solution of algebraic ...Fredholm equations of the first kind to a system of algebraic ...Fredholm integral equations of the first kind, ... See full document

... in numerical analysis; numerical solution of linear and nonlinear inte- gral, integro-differential, and differential equa- tions; numerical linear algebra; and computa- tional ... See full document

... the numerical solution of nonlinear Volterra-Fredholm integral equation by collocation methods, SIAM ...discretized Volterra-Fredholm integral equations, ... See full document

... In [1, 2] the authors have solved similar problems with product integration technique, which is a good method on short time intervals and the second kind integral equations [3-9]. The product ... See full document

... multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first ...first kind to a one-dimensional linear VIE of the first ... See full document

... such as collocation, Galerkin, etc., for set- ting up the recurrence relation. The method is fast and the running times of its algorithm, even for high degrees of approximation, are very short. This is due to the fact ... See full document

... In this paper, non-polynomial spline function method for solving Volterra integral equations of the second kind is presented successfully. This idea based on the use of the VIE's and ... See full document