Numerical studies of algorithms for solving some differential equations

Author

Nian She

Date of Award

8-1985

Degree Type

Thesis

Degree Name

Master of Arts

Major

Mathematics

Major Professor

Laurence A. Bales

Abstract

Some iterative methods are studied for solving a stiff system of two ordinary differential equations with smooth and nonsmooth initial data. Some fundamental conditions required by Sammon [5] are verified. If the high dimensional systems are considered, two-term or three-term conjugate gradient methods can be explored. According to our examples, these two methods have no significant difference in the sense of number of iterations. Finally, the Incomplete Cholesky conjugate gradient method is used to compare with the classical conjugate gradient method. In all test problems ICCG was faster than GC .

Recommended Citation

She, Nian, "Numerical studies of algorithms for solving some differential equations. " Master's Thesis, University of Tennessee, 1985.
https://trace.tennessee.edu/utk_gradthes/14441