On the Order of Convergence of Solutions of a Difference Equation to a Solution of the Diffusion Equation
M. L. Juncosa, Dean M. Young · Journal of the Society for Industrial and Applied Mathematics · 1953
Previous article Next article On the Order of Convergence of Solutions of a Difference Equation to a Solution of the Diffusion EquationM. L. Juncosa and D. M. YoungM. L. Juncosa and D. M. Younghttps://doi.org/10.1137/0101007PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] W. E. Byerly, Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics, Ginn and Co., Boston, 1893 Google Scholar[2] H. S. Carslaw, The Mathematical Theory of the Conduction of Heat in Solids, MacMillan, London, 1921 Google Scholar[3] M. L. Cartwright, On the Relation Between Different Types of Abel Summation, Proc. Lond. Math. Soc. (2), 31 (1930), 81–96 CrossrefGoogle Scholar[4] Ruel V. Churchill, Fourier Series and Boundary Value Problems, McGraw-Hill Book Company, Inc., New York and London, 1941ix+206 MR0003251 (2,189d) Google Scholar[5] J. Crank and , P. 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Standards, 48 (1952), 345–348 MR0048923 (14,93g) CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Rates of Convergence of Approximate Solutions of Parabolic Initial-Boundary Value ProblemsC. S. Caldwell14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 11, No. 6AbstractPDF (1209 KB)Stability Theory for Partial Difference OperatorsVidar Thomée18 July 2006 | SIAM Review, Vol. 11, No. 2AbstractPDF (3792 KB)The Rate of Convergence of Some Difference SchemesG. W. 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