Ph.D. Tezi Görüntüleme

Student: Olgun CABRİ
Supervisor: Prof. Dr. İhsan ÜNVER
Department: Matematik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University Turkey
Title of the Thesis: On a Social and Economical Population Model
Level: Ph.D.
Acceptance Date: 29/1/2016
Number of Pages: 97
Registration Number: Di1119
Summary:

      In this thesis a family saving model which can be represented by heat equation is studied with different integral boundary conditions. By the Fourier method, corresponding Sturm-Liouville problems are obtained. Eigenvalues and eigenfuctions of the two different problems are given and solutions of the problems are showed. In addition, Method of Lines method and Crank Nicolson method are applied to family saving model with integral boundary conditions. Results of the numerical methods are compared.

      

Keywords: Sturm-Liouville Problem, Integral Boundary Conditions, Nonlocal Boundary Condition, Family Saving Model