Application of the Method of Lines to Parabolic Partial Differential Equations With Error Estimates

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Application of the Method of Lines to Parabolic Partial Differential Equations With Error Estimates

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Journal of the ACM (JACM) archive
Volume 17 , Issue 2 (April 1970) table of contents

Pages: 294 - 302

Year of Publication: 1970

ISSN:0004-5411

Author

A. Zafarullah

Florida State University, Computing Center, Tallahassee, Florida

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 51, Citation Count: 1

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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	FORSYTHE, G. E., AND WASOW, W. R. Finite Difference Methods for Partial Differential Equations. Wiley, New York, 1960.
	2	DOUGLAS, J., JR., AND GALLIE, W. M., JR. Variable time steps in the solution of the heat flow equation by a difference equation. Proc. Amer. Math. Soc. 6 (1955), 787-793.
	3	FARRINGTON, C.C. Variable time steps in the numerical integration of parabolic partial differential equations. Symp. on the Numerical Solution of Partial Differential Equations, Inst. of Fluid Dynamics and Applied Mathematics, U. of Maryland, College Park, Md., May 3-8, 1965.
	4	SARMIN, E.N. Application of the method of straight lines to the solution of boundary value problems for certain non-self-conjugate two-dimensional second order elliptic equations. USSR Computational Math. and Math. Phys. 5, 5 (Feb. 1968), 240-246 (transl. and pub. by Pergamon Press, New York).
	5	LIEBERSTEIN, H.M. A Course in Numerical Analysis. Harper & Row, New York, 1968.
	6	J. S. Hicks , J. Wei, Numerical Solution of Parabolic Partial Differential Equations With Two-Point Boundary Conditions by Use of the Method of Lines, Journal of the ACM (JACM), v.14 n.3, p.549-562, July 1967 [doi>10.1145/321406.321417]
	7	NORDSIECK, A. On numerical integration of ordinary differential equations. Math. Comp. 16, 77 (Jan. 1962), 22-49.
	8	COLLATZ, L. The Numerical Treatment of Differential Equations. Springer-Verlag, Berlin, 1960.
	9	BIRKHOFF, G., AND ROTA, G. Ordinary Differential Equations. Ginn and Co., New York, 1962.
	10	BRAUER~ F., AND NOHEL, J.A. The Qualitative Theory of Ordinary Differential Equations. W. A. Benjamin, New York, 1969.