Numerical treatment of a set of fourth order hyperbolic differential equations

Authors:
Thomas Engelhart
Affiliations:
Armour Research Foundations Chicago, Illinois
Venue:
ACM '58 Preprints of papers presented at the 13th national meeting of the Association for Computing Machinery
Year:
1958

Citing 3
Cited 0

Numerical Treatment of a Fourth Order Parabolic Partial Differential Equation

Journal of the ACM (JACM)
A Stable Implicit Finite Difference Approximation to a Fourth Order Parabolic Equation

Journal of the ACM (JACM)
Optimum Recurrence Formulas for a Fourth Order Parabolic Partial Differential Equation

Journal of the ACM (JACM)

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Abstract

The equations discussed here are those governing the bending of an elastic column when one end is given a known axial velocity. Existing solutions to this problem have assumed an infinite speed of propagation of the stress wave, The work described in this paper was originally started to determine when existing solutions are valid, and to devise practical methods of solution for those situations not adequately covered at present.