Accession Number:

AD0483922

Title:

NUMERICAL SOLUTION OF SECOND ORDER DIFFERENTIAL EQUATIONS USING RATIONAL PADE CONVERGENTS.

Descriptive Note:

Master's thesis,

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

• Moye, William B., Jr.

Report Date:

1966-01-01

Pagination or Media Count:

65.0

Abstract:

Rational Pade convergents to a function of the forward shift operator F are computed from coefficients of its power series expansion. These Pade convergents are used to generate recursion formulas which are then employed to obtain approximate numerical solutions of several second order differential equations. A variety of integration step lengths are used. Solution error is plotted against the number of iteration steps and results are evaluated. It is concluded that this procedure is beneficial as a method of deriving corrector formulas to be used in the predictor-corrector method of solving second order differential equations. A method for deriving improved predictor formulas is suggested. Author

Descriptors:

• (*DIFFERENTIAL EQUATIONS
• NUMERICAL ANALYSIS)
• OPERATORS(MATHEMATICS)
• POWER SERIES
• RECURSIVE FUNCTIONS
• COMPUTER PROGRAMMING
• ERRORS
• GRAPHICS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE