Index Catalog // ScholarsArchive@OSU

Tables of similar solutions to the equations of momentum, heat, and mass transfer in laminar boundary layer flow

Creator:: Oregon State University. Engineering Experiment Station, Elzy, E., 1940-, and Sisson, Richard Mark
Resource Type:: Technical Report
Full Text:: layers requires the solution of a set of parabolic partial differential equations which expresses the

MINITRAN : an on-line function translator with capabilities for solving ordinary differential equations

Creator:: Ballance, Jeffrey David
Abstract:: A function translator is presented which was designed for interactive programs which allow functions to be defined on-line. The translator handles functions which are specified by a formula and functions which are specified as the solution to a system of differential equations.
Resource Type:: Masters Thesis
Full Text:: identify the differential equation solution to be used or to specify that the numerical derivative of the

Solution of unsteady, two-dimensional, inviscid flows

Creator:: Kuo, Ying-Ming
Abstract:: The general theory of characteristics is reviewed for hyperbolic partial differential equations of n independent variables. The application of the theory of characteristics is made to unsteady, two-dimensional, rotational, inviscid flows; unsteady, two-dimensional, irrotational, inviscid flows; and unsteady, axial symmetric, inviscid flows. The characteristic surfaces and the compatibility relations are...
Resource Type:: Masters Thesis
Full Text:: multipliers c.. Therefore, the differential equation c. L. (u) = 0 in the Equation (2.3) implies

Numerical solution of Hodgkin-Huxley's partial differential system for nerve conduction

Creator:: Morton, John Baird
Abstract:: A numerical solution to Hodgkin and Huxley's partial differential system for the propagated action potential is presented. In addition a three dimensional demonstration of the absolute refractory period is given. Lastly, theoretical evidence supporting Rushton's hypothesis is presented.
Resource Type:: Masters Thesis
Full Text:: presented. (Major) Numerical Solution of Hodgkin -Huxley's Partial Differential System For Nerve

The Davey-Stewartson equations : a numerical study

Creator:: White, Peter W.
Abstract:: In 1974 Davey and Stewartson used a multi-scale analysis to derive a coupled system of nonlinear partial differential equations which describes the evolution of a three dimensional wave packet in water of a finite depth. This system of equations is the closest integrable two dimensional analog of the well-known one...
Resource Type:: Dissertation

Stability of numerical integration of ordinary differential equations

Creator:: Lathrop, James Frank
Abstract:: The thesis discusses stability of procedures based on linear computing formulas for numerical integration of an ordinary first-order differential equation. The theorems are proved: (1) If the procedure is asymptotically stable it is stable for small positive step size if the Lipschitz number is negative; (2) Relative stability always exists...
Resource Type:: Masters Thesis
Full Text:: the growth of the error. Hamming claims (1, p. 198) that the solution of the differential equation

Numerical inversion of laplace transforms by the trapezoidal-type methods

Creator:: Lin, FuSen F.
Abstract:: In this dissertation, we investigate three numerical methods for inverting the Laplace transform. These methods are all based on the trapezoidal-type approximations to the Bromwich integral. The first method is the direct integration method: It is a straightforward application of the trapezoidal rule to the Bromwich integral, followed by convergence...
Resource Type:: Dissertation
Full Text:: Mathematics presented on September 3, 2003. - Title: Numerical Inversion of Laplace Transforms By the

Time domain simulation of multiconductor lossy transmission lines by the method of characteristics

Creator:: Orhanovic, Neven
Abstract:: A numerical technique to compute the time domain response of multiconductor lossy uniform and nonuniform lines terminated in general nonlinear elements is presented. The technique is based on the generalized method of characteristics. The method transforms the original system of transmission line equations into a system of ordinary differential equations....
Resource Type:: Masters Thesis
Full Text:: of Contents Page 1 Introduction 1 2 Numerical Solution of Hyperbolic Partial Differential

A comparison of iterative methods for the solution of elliptic partial differential equations, particularly the neutron diffusion equation

Creator:: Schwinkendorf, Kevin N.
Abstract:: Two new concepts have been explored in solving the neutron diffusion equation in one and two dimensions. At the present time, the diffusion equation is solved using source iterations. These iterations are performed in a mathematical form which has a great deal of physical significance. Specifically, the neutron production term...
Resource Type:: Masters Thesis
Full Text:: elliptic partial differential equations, particularly the neutron diffusion equation AN ABSTRACT OF THE

Skew Brownian motion and branching processes applied to diffusion-advection in heterogenous media and fluid flow

Creator:: Ramirez, Jorge M.
Abstract:: This thesis contains three manuscripts addressing the application of stochastic processes to the analysis and solution of partial differential equations (PDEs) in mathematical physics. In the first manuscript, one dimensional diffusion and Burgers equation are considered. The Fourier transform of the solution to each PDE is represented as the expected...
Resource Type:: Dissertation
Full Text:: stochastic processes to the analysis and solution of partial differential equations (PDEs) in mathematical

ScholarsArchive@OSU

Tables of similar solutions to the equations of momentum, heat, and mass transfer in laminar boundary layer flow

MINITRAN : an on-line function translator with capabilities for solving ordinary differential equations

Solution of unsteady, two-dimensional, inviscid flows

Numerical solution of Hodgkin-Huxley's partial differential system for nerve conduction

The Davey-Stewartson equations : a numerical study

Stability of numerical integration of ordinary differential equations

Numerical inversion of laplace transforms by the trapezoidal-type methods

Time domain simulation of multiconductor lossy transmission lines by the method of characteristics

A comparison of iterative methods for the solution of elliptic partial differential equations, particularly the neutron diffusion equation

Skew Brownian motion and branching processes applied to diffusion-advection in heterogenous media and fluid flow

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