On the stability of the Ritz-Galerkin method for Hammerstein equations
نویسندگان
چکیده
منابع مشابه
On the Stability of the Ritz-Galerkin Method for Hammerstein Equations
For the numerical treatment of Hammerstein equations by variational methods which has been considered by Hertling, we establish the stability in the sense of Mikhlin, Stetter and Tucker. Introduction. If one uses a variational method for the numerical treatment of Hammerstein equations, one obtains a nonlinear algebraic system of equations. In order to investigate the stability of the computing...
متن کاملWavelets Application to the Petrov-Galerkin Method for Hammerstein Equations
The purpose of this paper is two-fold. First, we develop the Petrov-Galerkin method and the iterated Petrov-Galerkin method for a class of nonlinear Hammerstein equations. Alpert [1] established a class of wavelet basis and applied it to approximate solutions of the Fredholm second kind integral equations by the Galerkin method. He then demonstrated an advantage of a wavelet basis application t...
متن کامل“the effect of risk aversion on the demand for life insurance: the case of iranian life insurance market”
abstract: about 60% of total premium of insurance industry is pertained?to life policies in the world; while the life insurance total premium in iran is less than 6% of total premium in insurance industry in 2008 (sigma, no 3/2009). among the reasons that discourage the life insurance industry is the problem of adverse selection. adverse selection theory describes a situation where the inf...
15 صفحه اولThe Ritz-Galerkin method for MHD Couette flow of non-Newtonian fluid
In this paper, the Ritz-Galerkin method in Bernstein polynomial basis is applied for solving the nonlinear problem of the magnetohydrodynamic (MHD) flow of third grade fluid between the two plates. The properties of the Bernstein polynomials together with the Ritz-Galerkin method are used to reduce the solution of the MHD Couette flow of non-Newtonian fluid in a porous medium to the solution o...
متن کاملSingularity preserving Galerkin method for Hammerstein equations with logarithmic kernel
In a recent paper [3], Y. Cao and Y. Xu established the Galerkin method for weakly singular Fredholm integral equations that preserves the singularity of the solution. Their Galerkin method provides a numerical solution that is a linear combination of a certain class of basis functions which includes elements that reflect the singularity of the solution. The purpose of this paper is to extend t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1975
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1975-0383797-2