Index Catalog // ScholarsArchive@OSU

Spectral integration and the numerical solution of two-point boundary value problems

Creator:: Norris, Gordon F.
Abstract:: Spectral integration methods have been introduced for constant-coefficient two-point boundary value problems by Greengard, and pseudospectral integration methods for Volterra integral equations have been investigated by Kauthen. This thesis presents an approach to variable-coefficient two-point boundary value problems which employs pseudospectral integration methods to solve an equivalent integral equation. This...
Resource Type:: Masters Thesis
Full Text:: solution of this system of equations gives the approximate solution of the boundary value problem. In

A nonlinear free boundary value problem

Creator:: Kharab, Abdelwahab
Abstract:: We discuss a mathematical model arising in the filtration of a fluid through a porous medium. The model leads to a free boundary value problem whose governing equation depends on the retention function. A numerical approximation by means of finite elements is used to present an existence and uniqueness theorem...
Resource Type:: Dissertation
Full Text:: filtration of a fluid through a porous medium. The model leads to a free boundary value problem whose

Initial and boundary value problem for a third order differential equation of parabolic type

Creator:: Al-Ayat, Rokaya Abdel-Ghani
Abstract:: See pdf
Resource Type:: Dissertation
Full Text:: : INITIAL AND BOUNDARY VALUE PROBLEM FOR A THIRD ORDER DIFFERENTIAL EQUATION OF PARABOLIC TYPE Abstract

A topological approach to dry friction and nonlinear beams

Creator:: Senkyrik, Martin
Abstract:: Topological results are applied to boundary value problems modeling nonlinear beams and dry friction. A classical continuation theorem is used to prove existence results for nonlinear beams. Unified proofs, where possible, are given for all the physically relevant boundary conditions. Integration techniques and various integral inequalities are used to prove...
Resource Type:: Dissertation

Boundary value problem for the rectangular wavemaker

Creator:: Averbeck, Patrick J.
Abstract:: The goal of this research is to develop an equation describing the two, dimensional motion of an inviscid incompressible fluid in the rectangular wavemaker of constant depth. The boundary value problem of the rectangle is transformed to the upper half plane with the use of Jacobian elliptical functions. The boundary...
Resource Type:: Masters Thesis
Full Text:: Boundary value problem for the rectangular wavemaker

Vibration of elastic bars

Creator:: Roetman, Ernest Levane
Abstract:: See pdf
Resource Type:: Dissertation

The existence and uniqueness of solutions in a weighted Sobolov space for an initial-boundary problem of a degenerate parabolic equation with principal part in divergence form

Creator:: Lee, Hanku
Resource Type:: Dissertation
Full Text:: possible to establish the unique solvability for the Cauchy problem and the initial-boundary value

Nonlinear free boundary problems arising from melting processes

Creator:: Park, Tae-soon
Abstract:: We discuss a mathematical model arising in the melting of a fluid in two spatial dimensions and in time. The model leads to a free boundary value problem for determining the location of the interface as well as the temperature distribution. The movement of the interface depends on the temperatures,...
Resource Type:: Dissertation

A free boundary value problem for the gas dynamic equations

Creator:: Gerlach, Jurgen
Abstract:: We discuss a mathematical model arising from the following physical situation. We consider a gas-filled cylinder with a piston at one end whose motion is determined by the pressure of the gas within the cylinder and by external forces. Zero mass flux is assumed at the piston while the mass...
Resource Type:: Dissertation

Irregular points in wavemaker boundary value problem

Creator:: Tanaka, Yoshihiro
Abstract:: A global solution is presented that accurately accounts for the singular behavior at all irregular points. The linearized boundary value problem in a semi-infinite strip in the physical plane is transformed into a smooth unit disk by two successive conformal mappings. The global solution results from a Fredholm integral equation...
Resource Type:: Dissertation
Full Text:: Irregular points in wavemaker boundary value problem AN

ScholarsArchive@OSU

Spectral integration and the numerical solution of two-point boundary value problems

A nonlinear free boundary value problem

Initial and boundary value problem for a third order differential equation of parabolic type

A topological approach to dry friction and nonlinear beams

Boundary value problem for the rectangular wavemaker

Vibration of elastic bars

The existence and uniqueness of solutions in a weighted Sobolov space for an initial-boundary problem of a degenerate parabolic equation with principal part in divergence form

Nonlinear free boundary problems arising from melting processes

A free boundary value problem for the gas dynamic equations

Irregular points in wavemaker boundary value problem

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