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ETD Abstract Container
Abstract Header
Elliptic and Parabolic Interface Problems With Nonlinear Jump Condition
Author Info
Khaemba, Caleb Simiyu
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1718718237827277
Abstract Details
Year and Degree
2024, Master of Arts (MA), Bowling Green State University, Mathematics/Scientific Computation.
Abstract
This thesis investigates one-dimensional elliptic and parabolic interface problems characterized by both nonlinear and linear jump conditions. We develop weak formulations for these equations and employ computational methods, including the Galerkin Finite Element Method and the $s-$ method for approximation. Our analysis addresses the uniqueness and existence of solutions for elliptic problems with linear interface jump conditions, as well as the well-posedness and convergence of parabolic equations with both linear and nonlinear interface jump conditions. Additionally, we explore the steady-state solutions achievable for the parabolic problem. Numerical solutions are presented to demonstrate the accuracy and effectiveness of our approach.
Committee
So-Hsiang Chou, Ph.D. (Committee Chair)
Tong Sun, Ph.D. (Committee Member)
Pages
43 p.
Subject Headings
Applied Mathematics
;
Mathematics
Keywords
Finite Element Method
;
Elliptic
;
Parabolic
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Citations
Khaemba, C. S. (2024).
Elliptic and Parabolic Interface Problems With Nonlinear Jump Condition
[Master's thesis, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1718718237827277
APA Style (7th edition)
Khaemba, Caleb.
Elliptic and Parabolic Interface Problems With Nonlinear Jump Condition.
2024. Bowling Green State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1718718237827277.
MLA Style (8th edition)
Khaemba, Caleb. "Elliptic and Parabolic Interface Problems With Nonlinear Jump Condition." Master's thesis, Bowling Green State University, 2024. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1718718237827277
Chicago Manual of Style (17th edition)
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Document number:
bgsu1718718237827277
Download Count:
95
Copyright Info
© 2024, all rights reserved.
This open access ETD is published by Bowling Green State University and OhioLINK.