THE NUMERICAL SOLUTION OF VOLTERRA FUNCTIONAL DIFFERENTIAL EQUATIONS BY EULER'S METHOD.

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Abstract:

Two methods are developed for numerically solving the Cauchy problem for Volterra functional equations these methods are generalizations of the methods of Euler and Heun for ordinary differential equations. It is proved that these methods converge and a numerical example is given. Author

Author(s):
Cryer, Colin W. ; Tavernini, Lucio
Author Organization(s):
WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES
Descriptive Note:
Technical rept.,
Pagination:
0053

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TR-71
Contract/Grant Number(s):
DA-31-124-ARO(D)-462, N00014-67-A-0128-0004
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*CAUCHY PROBLEM, *NUMERICAL ANALYSIS), COMPUTER PROGRAMMING, INTEGRAL EQUATIONS, BOUNDARY VALUE PROBLEMS, APPROXIMATION(MATHEMATICS), DIFFERENCE EQUATIONS, TIME LAG THEORY, THEOREMS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
EXISTENCE THEOREMS, FINITE DIFFERENCE THEORY, UNIQUENESS THEOREMS, *VOLTERRA EQUATIONS
Report Date:
1969 Sep 01