Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Some stable explicit difference approximations to the diffusion equation


Author: Bert K. Larkin
Journal: Math. Comp. 18 (1964), 196-202
MSC: Primary 65.68
DOI: https://doi.org/10.1090/S0025-5718-1964-0164450-X
MathSciNet review: 0164450
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] J. H. Giese, Numerical Analysis, ``Recent Soviet contributions to mathematics.'' The Macmillan Co., New York, 1962, p. 86-88.
  • [2] V. K. Saul'ev, ``A method of numerical solution for the diffusion equation,'' Dokl. Akad. Nauk SSSR (NS), 115 (1957), 1077-1079. RZh (1958), 6198. MR 0142205 (25:5598)
  • [3] V. K. Saul'ev, ``Numerical integration of parabolic equations,'' Dokl. Akad Nauk SSSR (NS), 117 (1957), 36-39. MR, 20, 2847; RZh (1958), 9251. MR 0096363 (20:2847)
  • [4] V. K. Saul'ev, ``Methods of increased accuracy and two-dimensional approximations to solutions of parabolic equations,'' Dokl. Akad. Nauk SSSR (NS), 118 (1958), 1088-1090. RZh (1959), 869. MR 0142206 (25:5599)
  • [5] Robert D. Richtmyer, Difference Methods for Initial-Value Problems. Interscience Publishers, Inc., New York, 1957. MR 0093918 (20:438)
  • [6] H. S. Carslaw, & J. C., Jaeger, Conduction of Heat in Solids. 2nd ed., Oxford University Press, 1959. MR 0022294 (9:188a)
  • [7] G. G. O'Brien, M. A. Hyman, & S., Kaplan, ``A study of the numerical solution of partial differential equations,'' J. Math. Phys., v. 29, 1950, p. 223-251.
  • [8] D. W. Peaceman, & H. H. Rachford, ``The solution of parabolic and elliptic differential equations,'' J. Soc. Indust. Appl. Math., vol. 3, 1955, p. 28-41. MR 0071874 (17:196d)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65.68

Retrieve articles in all journals with MSC: 65.68


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1964-0164450-X
Article copyright: © Copyright 1964 American Mathematical Society

American Mathematical Society