[PDF] Top 20 An approximation method for the solving a class of nonlinear integral equations

... AChebyshev-matrix method for solving nonlinear integral equations have been presented by Sezer and Doğan ...collocation method, which is given by Akyüz and Sezer [3], is ... See full document

... Integral equations provide an important tool for modeling a numerous phenomena and processes and also for solv- ing boundary value problems for both ordinary and par- tial differential ...gral ... See full document

... Rich-type method, for obtaining the approximate solution of the system of nonlinear integral equations ...this method is derived from Richardson iteration method for ... See full document

... The integral equation method is widely used for solving many problems in mathematical physics and ...computational method for solving nonlinear Fredholm-Volterra integral ... See full document

... for solving a class of optimal control problems containing non- linear dynamical system and functional of state ...numerical method consists of two major ...the nonlinear dynamical system into ... See full document

... The method is a powerful procedure for solving linear integral ...iteration method (VIM) with 25 iterations. The rapid convergence of the method can be clearly seen in the figure ... See full document

... sciences. Solving this equation analytically is very difficult or even sometimes impossible, so we develop an efficient numerical method to solve ...the nonlinear system of algebraic equations ... See full document

... As shown by numerical examples, the method in- troduced here can be simply implemented to gen- eral nonlinear integral equations of the second kind. The advantages are much less implemen- ... See full document

... the integral operator, and obtain an operational matrix for our integral ...of nonlinear two-dimensional Fredholm integral equations without any solving of linear ...my ... See full document

... for solving the nonlinear Volterra integral equations have been ...for nonlinear Volterra integral equations by using Galerkin, Taylor polynomials and other ...polynomial ... See full document

... In recent years, Chebyshev polynomials (family of orthogonal polynomials on the interval [−1, 1]) have become increasingly important in numerical analysis, from both theoretical and practical points of view. They have ... See full document

... Collocation method is a widely popular numerical technique in solving integral equations, differential equa- tions, ...collocation method is used to solve complicated engineering ... See full document

... proposed method does not need any integration for obtaining the constant coefficients hence, it can be applied in a simple and fast ...present method is a powerful mathematical tool for finding the ... See full document

... and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions,” Nonlinear Analysis: Theory, Methods & ... See full document

... This reduction of what may represent a complicated mathematical model of physical situation into a single equation is itself a significant step, but there are other advantages to be gained by replacing differentiation ... See full document

... [7] B. Bede, S.G. Gal, Quadrature rules for integrals of fuzzy-number-valued functions, Fuzzy Sets and Systems 145 (2004) 359-380. [8] A.M. Bica, Error estimation in the approx- imation of the solution of ... See full document

... approximate method for solving Equation ...approximate method has been developed to solve the simple Equation ...approximate method developed below appears to be quite appropriate for ... See full document

... dimensional integral (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...dimensional integral equations ... See full document

... to solving Burger-Korteweg-devries equation and so on, in this paper in- vestigation a traveling wave solution for non linear partial differential equation, study nonlinear phenomena, in solving ... See full document

... an approximation method for solving linear and nonlinear problems and at beginning it was proposed for solving nonlinear fractional differential equations [6], by ... See full document