Accurate Difference Methods for Linear Ordinary Differential Systems Subject to Linear Constraints

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Previous article Next article Accurate Difference Methods for Linear Ordinary Differential Systems Subject to Linear ConstraintsHerbert B. KellerHerbert B. Kellerhttps://doi.org/10.1137/0706002PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Earl A. Coddington and , Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955xii+429 MR0069338 0064.33002 Google Scholar[2] L. Fox, The numerical solution of two-point boundary problems in ordinary differential equations, Oxford University Press, New York, 1957xi+371 MR0102178 0077.11202 Google Scholar[3] William B. Gragg, On extrapolation algorithms for ordinary initial value problems, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal., 2 (1965), 384–403 MR0202318 0135.37803 LinkGoogle Scholar[4] Peter Henrici, Discrete variable methods in ordinary differential equations, John Wiley & Sons Inc., New York, 1962xi+407 MR0135729 0112.34901 Google Scholar[5] E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944viii+558 MR0010757 0063.02971 Google Scholar[6] Eugene Isaacson and , Herbert Bishop Keller, Analysis of numerical methods, John Wiley & Sons Inc., New York, 1966xv+541 MR0201039 0168.13101 Google Scholar[7] Herbert B. Keller, Numerical methods for two-point boundary-value problems, Blaisdell Publishing Co. Ginn and Co., Waltham, Mass.-Toronto, Ont.-London, 1968viii+184 MR0230476 0172.19503 Google Scholar[8] Milton Lees, J. H. Bramble, Discrete methods for nonlinear two-point boundary value problemsNumerical Solution of Partial Differential Equations (Proc. Sympos. Univ. Maryland, 1965), Academic Press, New York, 1966, 59–72 MR0202323 0148.39206 Google Scholar[9] V. L. Pereyra, Highly accurate discrete methods for nonlinear problems, MRC Rep. 749, Mathematics Research Center, U.S. Army, University of Wisconsin, Madison, 1967 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Well-posedness and analyticity of solutions to a water wave problem with viscosityJournal of Differential Equations, Vol. 265, No. 10 Cross Ref Heat Transfer in MHD Flow due to a Linearly Stretching Sheet with Induced Magnetic FieldAdvances in Mathematical Physics, Vol. 2018 Cross Ref On analyticity of linear waves scattered by a layered mediumJournal of Differential Equations, Vol. 263, No. 8 Cross Ref A high-order perturbation of surfaces method for scattering of linear waves by periodic multiply layered gratings in two and three dimensionsJournal of Computational Physics, Vol. 345 Cross Ref MHD flow due to a linearly stretching sheet with induced magnetic field21 May 2016 | Acta Mechanica, Vol. 227, No. 10 Cross Ref MHD Flow due to the Nonlinear Stretching of a Porous SheetAdvances in Mathematical Physics, Vol. 2016 Cross Ref My Limiting Behavior of MHD Flow with Hall Current, Due to a Porous Stretching SheetJournal of Applied Mathematics and Physics, Vol. 02, No. 05 Cross Ref Limiting behavior of MHD flow over a porous rotating disk with Hall currents17 December 2012 | ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 93, No. 9 Cross Ref MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous DiskJournal of Applied Mathematics, Vol. 2013 Cross Ref Comment on “Group solution of a time dependent chemical convective process” by M.M. 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