Results 41 to 50 of about 368,146 (227)

Numerical Methods for Singular Perturbation Problems [PDF]

, 1981
Consider the two-point boundary value problem for a stiff system of ordinary differential equations.
Kreiss, Barbro, Kreiss, Heinz-Otto
core   +1 more source

Solving Ordinary Differential Equations

Programming for Computations - Python, 2019
Differential equations constitute one of the most powerful mathematical tools to understand and predict the behavior of dynamical systems in nature, engineering, and society.
S. Linge, H. Langtangen
semanticscholar   +1 more source

Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - II: Partial Differential Equations

, 2011
The linearization of complex ordinary differential equations is studied by extending Lie's criteria for linearizability to complex functions of complex variables.
A. Qadir, A.M. Tressé, A.M. Tressé, A.V. Aminova, Asghar Qadir, C. Wafo Soh, E. Fredericks, F. M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, G. Bluman, G. Bluman, G. Bluman, G. Grebot, M.U. Farooq, N.H. Ibragimov, N.H. Ibragimov, N.H. Ibragimov, Pradeep R. Gladwin, R. Penrose, S. Ali, S. Ali, S. Chandresekhar, S. Kumei, S. Lie, S. Lie, S. Neut, S.S. Chern, S.S. Chern, S.V. Meleshko, T. Feroze, V.K. Chandrasekar   +37 more
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A refined invariant subspace method and applications to evolution equations

, 2012
The invariant subspace method is refined to present more unity and more diversity of exact solutions to evolution equations. The key idea is to take subspaces of solutions to linear ordinary differential equations as invariant subspaces that evolution ...
A. S. Fokas, C. R. Zhu, C. X. Li, C. Z. Qu, C. Z. Qu, C. Z. Qu, G. W. Bluman, J. R. King, L. Debnath, P. J. Olver, R. Hirota, R. Hirota, R. Z. Zhdanov, S. F. Shen, S. R. Svirshchevskii, S. R. Svirshchevskii, S. S. Titov, V. A. Galaktionov, V. A. Galaktionov, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W. X. Ma, W.X. Ma, Wen-Xiu Ma   +28 more
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Spatially self-similar locally rotationally symmetric perfect fluid models [PDF]

, 1995
Einstein's field equations for spatially self-similar locally rotationally symmetric perfect fluid models are investigated. The field equations are rewritten as a first order system of autonomous ordinary differential equations.
Bogoyavlensky O I, Bogoyavlensky O I, Cahill M E, Claes Uggla, Collins C B, Eardley D M, Ellis G F R, King A R, Kramer D, Luminet J P, Shikin I S, Shikin I S, Shikin I S, Ulf Nilsson, Wu C   +14 more
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Computational Modelling and Similarity Reduction of Equations for Transient Fluid Flow and Heat Transfer with Variable Properties

Advances in Mechanical Engineering, 2013
We consider a system of coupled partial differential equations describing transient fluid flow and heat transfer with variable flow properties. Classical Lie point symmetry analysis of this system resulted in admitted large Lie algebras for some special ...
R. J. Moitsheki, O. D. Makinde
doaj   +1 more source

Mirror Symmetry of Calabi-Yau Manifolds and Flat Coordinates [PDF]

, 1996
We study mirror symmetry of Calabi-Yau manifolds within the framework of the Gauss-Manin system. Applying the flat coordinates to the Gauss-Manin system for the periods, we derive differential equations for the mirror map in addition to the ordinary ...
Masayuki Noguchi, Sugiyama K.
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A Chebyshev-Gauss collocation method for the numerical solution of ordinary differential equations [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2017
This paper presents a Chebyshev-Gauss collocation method to determine an approximate solution to the initial value problems of ordinary differential equations.
Kanyakorn Cheuprasert, Nairat Kanyamee
doaj   +1 more source

A Recipe for State Dependent Distributed Delay Differential Equations

, 2018
We use the McKendrick equation with variable ageing rate and randomly distributed maturation time to derive a state dependent distributed delay differential equation.
Cassidy, Tyler, Craig, Morgan, Humphries, Antony R.   +2 more
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Mean-Field Pontryagin Maximum Principle [PDF]

, 2017
International audienceWe derive a Maximum Principle for optimal control problems with constraints given by the coupling of a system of ordinary differential equations and a partial differential equation of Vlasov-type with smooth interaction kernel. Such
Bongini, Mattia, Fornasier, Massimo, Rossi, Francesco, Solombrino, Francesco   +3 more
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