This has been seen that in some application for finding the analytical solution of mathematical problem is too complicated , so in recent years researcher has devoted lots of afforts to find the numerical solution of the equation. In this paper an application of the Gegenbauer wavelet method is applied to solve system of generalized Abel's integral equation. This wavelet reduces the system...

The defining property of an integral equation with resolvent R(t, s) is the relation between a(t) and ∫ t 0 R(t, s)a(s)ds for functions a(t) in a given vector space. We study the behavior of a solution of an integral equation x(t) = a1(t) + a2(t) − ∫ t 0 C(t, s)x(s)ds when a1(t) is periodic, C(t+ T, s+ T ) = C(t, s), while a2(t) is typified by (t+ 1) β with 0 < β < 1. There is a resolvent, R(t,...

ABSTRACT. With S a linearly ordered set with the least upper bound property, with g a nonincreasing real-valued function on S, and with A a densely denned dissipative linear operator, an evolution system M is developed to solve the modified Stieljes integral equation M(s, i)x = x + A((L)[sdgM(-, t)x). An affine version of this equation is also considered. Under the hypothesis that the evolufion...

the first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. this method can be applied to non integrable equations as well as to integrable ones. in this paper, the first integral method is used to construct exact solutions of the 2d ginzburg-landau equation.

in this paper, the bernstein polynomials are used to approximate the solutions of linear integral equations with multiple time lags (iemtl) through expansion methods (collocation method, partition method, galerkin method). the method is discussed in detail and illustrated by solving some numerical examples. comparison between the exact and approximated results obtained from these methods is...

in this paper, we present a computational method for solving boundary integral equations with loga-rithmic singular kernels which occur as reformulations of a boundary value problem for the laplacian equation. themethod is based on the use of the galerkin method with cas wavelets constructed on the unit interval as basis.this approach utilizes the non-uniform gauss-legendre quadrature rule for ...

The scattering of γπ → ππ is studied using the axial anomaly, elastic unitarity, analyticity and crossing symmetry. Using the technique to derive the Roy’s equation, an integral equation for the P-wave amplitude is obtained in terms of the strong P-wave pion pion phase shifts. Its solution is obtained numerically by an iteration procedure using the starting point as the solution of the integral...

A complex of Cu(II) with 1-(6-HydroxyNaphthalen-2-yl) Butane-1,3-Dione (HNBD) was synthesized and characterized by elemental analysis, IR, UV and DTA-TG-DTG techniques.    IR spectra as well as UV-visible absorption measurements indicated that Cu(II) ion was coordinated to the HNBD ligand. The TG-DTA-DTG curves showed that thermal decomposition o...

Paul Garrett [email protected] http://www.math.umn.edu/ g̃arrett/ [This document is http://www.math.umn.edu/ ̃garrett/m/mfms/notes 2015-16/06d functional equation.pdf] 1. L(s, χ) for even χ 2. L(s, χ) for odd χ We prove the analytic continuation and function equation of Dirichlet L-functions L(s, χ) imitating the argument Riemann used for proving the analytic continuation of ζ(s) and its funct...