Boundary value problems in microcontinuum fluid mechanics

Galerkin Spectral Methods for Higher-order Boundary Value Problems Arising in Fluid Mechanics

We develop Galerkin spectral technique for solving boundary value problems arising in natural convection. They consist of a fourth-order b.v.p. for the stream function coupled to a second-order b.v.p. for the temperature. As a basis are used the set of socalled Beam functions introduced by Lord Rayleigh and the set of Fourier functions. The formulas for the cross expansions between the two sets...

An Approximate Solution for Boundary Value Problems in Structural Engineering and Fluid Mechanics

Variational iteration method VIM is applied to solve linear and nonlinear boundary value problems with particular significance in structural engineering and fluid mechanics. These problems are used as mathematical models in viscoelastic and inelastic flows, deformation of beams, and plate deflection theory. Comparison is made between the exact solutions and the results of the variational iterat...

L2-transforms for boundary value problems

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

Boundary Value Problems in Generalized Thermodiffusive Elastic Medium

In the present study, the boundary value problems in generalized thermodiffusive elastic medium has been investigated as a result of inclined load. The inclined load is assumed to be a linear combination of normal load and tangential load. Laplace transform with respect to time variable and Fourier transform with respect to space variable are applied to solve the problem. As an application of t...

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation