in this paper, we present legendre wavelet method to obtain numerical solution of a singular integro-differential equation. the singularity is assumed to be of the cauchy type. the numerical results obtained by the present method compare favorably with those obtained by various galerkin methods earlier in the literature.

The main theme of this paper is the modelling error associated with the choice of constitutive equations and associated parameter sensitivity. These key concepts are rst discussed in a general way and explored in detail subsequently for three ow application problems which share certain similarities not only in the nite element formulation but also in the nature of the non-linear constitutive la...

Abstract The electroosmotic flow of non-Newtonian fluid–Eyring fluid in microparallel pipes under high zeta potential driven by the combination pressure and electric force is studied. Without using Debye–Hückel (DH) linear approximation, numerical solutions distribution velocity obtained finite difference method are compared with analytical approximate DH approximation. results show that this a...

We prove the existence of weak solutions with homogeneous boundary data for the following equations of Navier-Stokes type equations divσ + f = ∇π + (∇u)u, where u : R ⊃ Ω → R is the velocity field satisfying div u = 0 and f : Ω→ R and π : Ω→ R are the external volume forces resp. the pressure. In order to model the behaviour of Prandtl-Eyring fluids we assume the validity of the stress-strain r...

In the Eyring rate theory, the rate constant is expressed as a product of a frequency factor (kT/h) and a quotient of partition functions. Continuing an earlier paper, it is shown here by means of simple examples that the Eyring formalism may be extended to include diffusion-controlled processes if a new frequency factor, D/Rlambda, is substituted for kT/h, where D = diffusion coefficient, lamb...

This article examines the effects of homogeneous-heterogeneous reactions and Newtonian heating in magnetohydrodynamic (MHD) flow of Powell-Eyring fluid by a stretching cylinder. The nonlinear partial differential equations of momentum, energy and concentration are reduced to the nonlinear ordinary differential equations. Convergent solutions of momentum, energy and reaction equations are develo...

abstract. let x be a vector space over a field k of real or complex numbers.we will prove the superstability of the following golab-schinzel type equationf(x + g(x)y) = f(x)f(y); x; y 2 x;where f; g are unknown functions (satisfying some assumptions). then we generalize the superstability result for this equation with values in the field of complex numbers to the case of an arbitrary hilbert spac...

The purpose of this paper is to solve the seventh-order functional equation as follows:  --------------------------- Next, we study the stability of this type of functional equation. Clearly, the function ----------  holds in this type functional equation. Also, we prove Hyers-Ulam stability for this type functional equation in the β-Gaussian Banach space.