Advisor

Razzaghi, Moshen

Committee Member

Kim, Seongjai

Committee Member

Miller, T. Len

Committee Member

Qian, Chuanxi

Committee Member

Yarahmadian, Shantia

Date of Degree

1-1-2015

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

Comments

semi-infinite||nonlinear ordinary differential equations||modified rational Bernoulli functions||numerical solution

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