A Numerical Method of Solving a Heat Flow Problem with Moving Boundary

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A Numerical Method of Solving a Heat Flow Problem with Moving Boundary

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Journal of the ACM (JACM) archive
Volume 5 , Issue 2 (April 1958) table of contents

Pages: 161 - 176

Year of Publication: 1958

ISSN:0004-5411

Author

L. W. Ehrlich

The Ramo-Wooldridge Corporation, Los Angeles, California

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 6, Downloads (12 Months): 47, Citation Count: 0

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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	G. W. EvAns II, A note on the existence of a ~olution to a problem of Stefan, Quarl. App. Math. 9 (1951), 185-193.
	2	G. W. EVANs II, E. ISAACSON AND J.K. L. MACONALD, Stefsn-like problems, Quart. App. Math. 8 (1950), 312-319.
	3	H. G. LANVAV, Heat conduction in a molting solid, Quart. App. Math. 8 (1950), 81-94.
	4	H. S. CARsLAw AND J. C. JAEGER, Conductiom of heat in solid, Oxford, 1948.
	5	J. DOGULAS, JR., AND J. M. GALLIE, JR., On the numerical integration of a parabolic differential equation subject to a moving boundary condition, Duke Math. Jr. 22 (1955), 557-571.
	6	G. H. BRUCe, D. W. Pv.ACEMAN, H. H. RACXFORD, JR., ANY J. D. RIcE., Calculations of unsteady-state gas flow through porous media, Petroleum Transactions, AIME 198 (1953), 79-92.
	7	J. CRANK AND P. NICOLSON, A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type, Pro~. Camb. Phil. 8oc. 45 (1947), ~7.
	8	L. H. THOMAS, Elliptic problems in linear difference equations over a network, unpublished.
	9	D. YOUNG AND L. EHR~ICH, On the numerical solution of linear and nonlinear parabolic equations on the Ordvac, Intermin Technical Report No. 18, Contract No. DA-36- 034-ORD-1486, University of Maryland, College Park, Md., Feb. 1956.
	10	L. F. RICHARDSON, The approximate arithmetical solution of finite differences of physical problems involving differential equations, Phil. Trans,, R. 8. London {A}, 210 (1910), 307-357.