Theses and Dissertations
Issuing Body
Mississippi State University
Advisor
Razzaghi, Moshen
Committee Member
Kim, Seongjai
Committee Member
Miller, T. Len
Committee Member
Qian, Chuanxi
Committee Member
Yarahmadian, Shantia
Date of Degree
12-11-2015
Document Type
Dissertation - Open Access
Major
Mathematical Sciences
Degree Name
Doctor of Philosophy
College
College of Arts and Sciences
Department
Department of Mathematics and Statistics
Abstract
In this dissertation, a new numerical method for solving some problems on the semiinfinite domain is presented. The method is based upon the modified rational Bernoulli functions. These functions are first introduced. Operational matrices of derivative and product of modified rational Bernoulli functions are then derived and are utilized to reduce the solution of the equations to a system of algebraic equations. This method is used to solve the following problems: Lane-Emden type equations, Volterra’s population model, Blasius equation, and MHD Falkner-Skan equation. Illustrative examples are included to demonstrate the validity and applicability of the technique.
URI
https://hdl.handle.net/11668/19610
Recommended Citation
Calvert, Velinda Remona, "Rational Bernoulli Functions for Solving Problems on Unbounded Domains" (2015). Theses and Dissertations. 3722.
https://scholarsjunction.msstate.edu/td/3722
Comments
semi-infinite||nonlinear ordinary differential equations||modified rational Bernoulli functions||numerical solution