[PDF] Top 20 The First Integral Method for Solving Maccari’s System

... the first in- tegral method. In Section 3, implementing the first inte- gral method, some new exact solutions for Maccari’s sy- stem are ... See full document

... to solving the Fredholm integral equation of the second ...kind. Integral representation of solution to the scattering problem leads to necessity to determine some unknown function contained in ... See full document

... of solving most initial value problems for a system of ordinary differential equations are mostly provided by Runge-Kutta methods sometimes referred to as ―RK‖ ... See full document

... numerical method for solv- ing the Volterra integral equation with a convolution ...The integral equation was first converted to an algebraic equation using the Laplace transform, after which ... See full document

... The method is a powerful procedure for solving linear integral ...the first two examples converges rapidly to the exact solutions while the third example shows supremacy with only three terms ... See full document

... The main goal of this paper is to present possibility of acceleration of the PIES for numerical solving of boundary value problems using the FMM. The main concept of the FMM is adopted from the FMM-BEM ... See full document

... where 1 2 ( = 0,1, … … . , 7 are polynomials of and all relatively prime in '[ , ] , 1 3 ≠ 0 . Equation (13) is also called the first integral to (12). Assuming that m=2, note that 9 is a polynomial in and ... See full document

... view integral equations as extensions of linear systems of algebraic ...An integral equation maybe interpreted as an analogue of a matrix equation which is easier to ...transform integral equations ... See full document

... In this section, we employ the proposed relaxed Monte Carlo method with importance sampling (say RMCIS) to compute the numerical solution of some examples and compare it with their exact solutions. The numerical ... See full document

... to system of linear Fredholm integral equations by modified midpoint method is ...This method transforms the system of linear Fredholm integral equations into a system of ... See full document

... the method decreases rapidly. This conrms the direct method proposed in this article has convergence and ...the method by increasing m until the computed results have an appropriate ... See full document

... the method of collocation with Chebyshev points. This method had been used for systems of nonlinear IE ...[17]. First we consider Fredholm nonlinear integral equations of the second and ... 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 nonlinear fuzzy ... See full document

... The computer algebra system (CAS) has been widely employed in mathematical and scientific studies. The rapid computations and the visually appealing graphical interface of the program render creative research ... See full document

... the integral collocation method by using the second shifted Chebyshev ...numerical method solving the model non-linear such as Riccati differential equation, Logistic differential equation and ... See full document

... a X = B + A − s X + + (15) where B 0 is arbitrary integration constant. Substituting a 0 ( ) ( ) X , a 1 X and g X ( ) in (14c), and setting all the coefficients of powers X to be zero, we obtain a system ... See full document

... kernel method for Fredholm integral equations of the first ...the method for the case of inexact data was established in both ...for solving Fredholm integral equations of the ... See full document

... of integral equations appear in a wide variety of physical ...the integral equations is one of the oldest problems in the applied mathematics liter- ature and many computational methods are introduced in ... See full document

... For decreasing the amount f algebraic operations during solving system (2.7), here we get suggest a scheme that may be called a generalization of the scheme by Urabe (1970). Before stating this scheme we ... See full document

... balance method [1-4], tanh method [5-7], Jacobian elliptic function expansion method [8], first integral method [9-11] and so ... See full document