[PDF] Top 20 Numerical Solution of Freholm Volterra Integral Equations by Using Scaling Function Interpolation Method

... 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 ... See full document

... We propose two numerical methods based on the sinc function, the SE-sinc and DE-sinc, in order to solve the nonlinear delay integral equation (Eq. (1.1)) where θ is general function. Our ... See full document

... sinc function that is necessary for the formulation of the delay integral ...Sinc-collocation method is considered in Section ...of numerical solutions. In Section 6, the order of scheme ... See full document

... spline function is used to solve 2 nd kind Volterra integral ...equations. Numerical examples are presented to illustrate the applications of this method, and to compare the ... See full document

... This paper is organized as follows. Section 2 defines BPFs and describes the mathematical preliminaries, which are relevant for the derivation that follows. Section 3 is concerned with the derivation of the proposed ... See full document

... various numerical methods such as finite difference method [4], radial basis function method [2], Galerkin method [9], operational matrix method [6, 11, 12, 16], Legendre wavelets ... See full document

... Pad´e approximants have the advantage of manipulating the polynomial approximation into a rational function in order to gain more information about u(x). Consequently, the series (6) should be manipulated to ... See full document

... efficient method for solving numerically stochastic Volterra integral equa- tion is ...This method has several advantages in reducing computa- tional burden and is more accurate than the ...The ... See full document

... the numerical solution of two-dimensional nonlinear stochastic Itô-Volterra integral equations based on block pulse ...stochastic integral equation is transformed into a set of ... See full document

... Sinc Function to solve the Fredholme-Volterra Integral ...By using collocation method we estimate a solution for Fredholme-Volterra Integral ...this method ... See full document

... Fredholm integral term and second integral in Eq. (1.1) is Volterra integral ...unique solution f (x) [11, 7]. Several numerical methods have been applied for solving nonlinear ... See full document

... a Volterra integral equations of the difference form ( ) , the equation is said to be of convolution type and may be solved by using the Laplace transform, which is gives the exact ... See full document

... fuzzy integral equations which is growing interest for some time, in par- ticular in relation to fuzzy control, have been rapidly developed in recent ...fuzzy integral equations requires ... See full document

... Electromagnetics, numerical methods for solving integral equations, electromagnetic theory, singular integral equa- tions, electromagnetic radiation and antenna, and propagation of ... See full document

... Integral equations appear in mathematical modeling of different disciplines such a biology, chemistry, physics, en- ...many numerical methods for ap- proximating the solution of Fredholm and ... See full document

... the numerical solution of Volterra- Fredholm integral equations by using expansion method based on the composition of the inverse and direct discrete fuzzy transforms ... See full document

... (2.6) using the same value of N ...this method to all early methods which use m-power of operational ma- trices with operation cost of at least O(mN 3 ) or O(m 2 N 5 ) ([5],[9],[11],[13],[15],[18],[19]) ... See full document

... of numerical methods agrees with the scheme of finding its ...finite-difference equations. Therefore, we call the construction of the method by the described scheme a finite-difference ... See full document

... for integral equations, a large volume of research has been accomplished in the last two decades which apply a class of wavelets to numerical solution of integral equations (see ... See full document

... tegration method. This method is simple and effective, and can provide an accurate approxi- mate solution to the stochastic integral ...the method are shown by some numerical ... See full document