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akron1335299082.pdf (416.08 KB)
ETD Abstract Container
Abstract Header
Lagrange-Chebyshev Based Single Step Methods for Solving Differential Equations
Author Info
Stoffel, Joshua David
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=akron1335299082
Abstract Details
Year and Degree
2012, Master of Science, University of Akron, Applied Mathematics.
Abstract
Many numerical methods are the result of replacing a function by its interpolating polynomial; quadrature formulas are one such method. In this research a special class of quadrature formulas are used that incorporate equally spaced points and zeros of Chebyshev polynomials simultaneously. Some properties of these quadrature formulas are investigated, and they will be used to develop single step methods for solving ordinary differential equations. Examples are presented to compare the approximated solutions with exact solutions.
Committee
Ali Hajjafar, Dr. (Advisor)
John Heminger, Dr. (Other)
Pages
86 p.
Subject Headings
Applied Mathematics
Keywords
quadrature formula
;
Lagrange polynomial
;
Chebyshev polynomial
;
differential equation
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Citations
Stoffel, J. D. (2012).
Lagrange-Chebyshev Based Single Step Methods for Solving Differential Equations
[Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1335299082
APA Style (7th edition)
Stoffel, Joshua.
Lagrange-Chebyshev Based Single Step Methods for Solving Differential Equations.
2012. University of Akron, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=akron1335299082.
MLA Style (8th edition)
Stoffel, Joshua. "Lagrange-Chebyshev Based Single Step Methods for Solving Differential Equations." Master's thesis, University of Akron, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=akron1335299082
Chicago Manual of Style (17th edition)
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Document number:
akron1335299082
Download Count:
1,152
Copyright Info
© 2012, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.