in this paper, we will present a review of the multistep collocation method for delay volterra integral equations (dvies) from [1] and then, we study the superconvergence analysis of the multistep collocation method for dvies. some numerical examples are given to confirm our theoretical results.

the principal aim of this paper is to serve the numerical solution of an integral-algebraic equation (iae) by using the bernoulli polynomials and the residual correction method. after implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown bernoulli coefficients. thismethod gives an analytic solution when t...

the territory of serbia is vulnerable to various types of natural hazards and the risk is not equal across the entire territory; it varies depending on the type of hazard and the expected potential for damage. the first aim of this research was to determine the geographical distributions of the major types of natural hazards. seismic hazards, landslides, rock falls, floods, torrential floods...

In this paper, exact traveling wave solution of Degasperis–Procesi equation can be investigated via the first-integral method. By using the first-integral method which is based on the ring theory of commutative algebra, We construct exact traveling wave solution for Degasperis–Procesi equation , and the obtained solution agrees well with the previously known result.

We shall study a weak solution in the Sobolev space of the transmission problem for the Laplace equation using the integral equation method. First we use the indirect integral equation method. We look for a solution in the form of the sum of the double layer potential corresponding to the skip of traces on the interface and a single layer potential with an unknown density. We get an integral eq...

in this paper, we present a method for solving the rst kind abel integral equation. in thismethod, the rst kind abel integral equation is transformed to the second kind volterraintegral equation with a continuous kernel and a smooth deriving term expressed by weaklysingular integrals. by using sidi's sinm - transformation and modi ed navot-simpson'sintegration rule, an algorithm for...

As a step toward satisfactory understanding of the quantum dynamics of Dirichlet (D-) particles, the amplitude for the basic process describing the scattering of two quantized D-particles is computed in bosonic string theory. The calucluation is performed and cross-checked using three different methods, namely, (i) path integral, (ii) boundary state, and (iii) open-channel operator formalism. T...

In this article, the anti-plane deformation of an orthotropic sector with multiple defects is studied analytically. The solution of a Volterra-type screw dislocation problem in a sector is first obtained by means of a finite Fourier cosine transform. The closed form solution is then derived for displacement and stress fields over the sector domain. Next, the distributed dislocation method is em...