A Stable Implicit Finite Difference Approximation to a Fourth Order Parabolic Equation

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A Stable Implicit Finite Difference Approximation to a Fourth Order Parabolic Equation

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Journal of the ACM (JACM) archive
Volume 4 , Issue 1 (January 1957) table of contents

Pages: 18 - 23

Year of Publication: 1957

ISSN:0004-5411

Author

S. D. Conte

The Ramo-Wooldridge Corporation, Los Angeles, Calif.

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 65, Citation Count: 3

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	COLLATZ, L., Zur Stabilit~t des Differenzverfahrens bei der Stabschwingungsgleiehung, ZAMM, 31, (1951).
	2	Stephen H. Crandall, Numerical Treatment of a Fourth Order Parabolic Partial Differential Equation, Journal of the ACM (JACM), v.1 n.3, p.111-118, July 1954 [doi>10.1145/320776.320779]
	3	CONTE, S. D. and ROVSTER, W. C., Convergence of finite difference solutions to a solution of the equation of the vibrating rod, Proc. Amer. Math. Soe., 7, (1942).
	4	CONS, S. D. and ROVSTER, W. C., A study of finite difference approximations to a fourth order parabolic differential equation, BRL report No. 959, (Oct. 1955).
	5	WAsow, W., On the truncation error in the solution of Laplaee's equation by finite differences, J. off Res. NBS, 48 (1952), 345--348.

CITED BY 3

	Stephen H. Crandall, Optimum Recurrence Formulas for a Fourth Order Parabolic Partial Differential Equation, Journal of the ACM (JACM), v.4 n.4, p.467-471, Oct. 1957
	Abdul-Majid Wazwaz, Exact solutions for variable coefficients fourth-order parabolic partial differential equations in higher-dimensional spaces, Applied Mathematics and Computation, v.130 n.2, p.415-424, August 2002
	Thomas Engelhart, Numerical treatment of a set of fourth order hyperbolic differential equations, Preprints of papers presented at the 13th national meeting of the Association for Computing Machinery, June 11-13, 1958, Urbana, Illinois