[PDF] Top 20 On a Volterra equation of the second kind with ‘incompressible’ kernel

... heat equation in noncylindrical domains has wide practical application ...heat equation in domains with moving boundary, namely in the domains which degenerate into a point at the initial ...singular ... See full document

... [1–8]. Volterra equations are undoubtedly also very important for both theory and applications [3, ...erence second-kind Volterra equations were obtained by authors in [10] (for difference ... See full document

... or Volterra equations and have numerous applications [3, 4, 8, ...difference Volterra equations with continuous time, which are popular enough in researches [1, 14, 15, 16, ... See full document

... the Volterra integral equations arising in various fields of physics and engineering [1], ...solving Volterra equations using various polynomials [2], have been developed by many ... See full document

... solving Volterra equations using various polynomials [2], have been developed by many ...of second order linear and first order non-linear differential equations by Bhatti and Bracken ...of second ... See full document

... type Volterra-Fredholm with singular ...singular kernel and many nonlinear problems, efficiency and accuracy of the introduced method are illustrated by four numerical examples which showed simplicity of ... See full document

... Keywords : Fuzzy number; F uzzy integral equation; Quadrature rules; numerial method.. ||||||||||||||||||||||||||||||||{.[r] ... See full document

... Now as it is clear, the integral term on the right-hand side of (1.1) is at most weakly singular. Using this regularized formula we are going to solve some important first and second kind Fredholm’s integral ... See full document

... Introduction In this chapter we consider the solution of the second kind equation when the kernel is of the form 1 where m is smooth and o has an integrable singularity typically The tw[r] ... See full document

... Many problems of mathematical physics can be started in the form of integral equations. These equations also occur as reformulations of other mathematical problems such as partial differential equations and ordinary ... See full document

... integral equation with continuous or discontinuous ...singular kernel appears in studies involving airfoil [3], fracture me- chanics contact [18] radiation and molecular conduction [6] and ...integral ... See full document

... transformed kernel is dominated near the origin by a Mellin kernel then they give conditions under which the use of a modified Euler-Maclaurin quadrature rule and the Nystr¨ om method gives an approximate ... See full document

... nonlinearvolterrantegral equation centerel mainly on illustrations of the known methods of finding exact , or numerical ...nonlinear volterra integral equations over the fuzzy interval ... See full document

... In this paper, we construct a new iterative method for solving nonlinear Volterra Integral Equation of the second kind, by approximating the Legendre polynomial basis. Error analysis is worked ... See full document

... Abstract. In this paper, we solved some problems of nonlinear second kind of Volterra integral equations by Optimal Homotopy Asymptotic Method(OHAM). We compared the results obtained by OHAM with the ... See full document

... of equation u − K [u] = f : (1) Linearize the problem and apply the Banach fixed point theorem, (2) Apply the theory asso- ciated with the rotation of a completely continuous vector field [2, page ...the ... See full document

... differential equation into a singular nonlinear Volterra integral equation of the second kind considering Remark ...the second step, we solve singular nonlinear Volterra ... See full document

... In [3], Avazzadeh et al. introduced a new method for solving Fredholm integral equation by using integral mean value method (IMVM)and M. Heydari et al. [10] extended their method for high dimensional Fredholm ... See full document

... the second kind nonlinear Vol- terra integral ...nonlinear equation explicitly, while the multistage scheme solves it interval by interval and enlarges the convergence region of the Picard iteration ... See full document

... integro-differential equation was investigated by Rashed (2004), Wazwaz (2006) used the modified decomposition method and the traditional methods for solving nonlinear integral ...integro-differential ... See full document