Explicit and implicit methods for second order ordinary differential equations
, 1980 A family of explicit formulas is developed for solving a system of second order linear ordinary differential equations with constant coefficients and with initial conditions specified.
Twizell, E H
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Upper and Lower Solutions Method for Darboux Problem for Fractional Order Implicit Impulsive Partial Hyperbolic Differential Equations [PDF]
, 2012 summary:In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of implicit impulsive hyperbolic differential equations by using the lower and upper solutions method combined with Schauder’s ...
Abbas, Saïd, Benchohra, Mouffak
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On the covering dimension of the set of solutions of some nonlinear equations [PDF]
, 1986 We prove an abstract theorem whose sole hypothesis is that the degree of a certain map is nonzero and whose parametric equations are studied using cohomological mconclusions imply sharp, multidimensional continuation results.
Pejsachowicz, Jacobo +4 more
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Construction of highly stable implicit-explicit general linear methods
, 2015 This paper deals with the numerical solution of systems of differential equations with a stiff part and a non-stiff one, typically arising from the semi-discretization of certain partial differential equations models.
Jackiewicz, Zdzisław +7 more
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Biconvection flow of Carreau fluid over an upper paraboloid surface: A computational study
Results in Physics, 2017 Present article explored the physical characteristics of biconvection effects on the MHD flow of Carreau nanofluid over upper horizontal surface of paraboloid revolution along with chemical reaction.
Mair Khan +3 more
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Regularity And Selecting Principles For Implicit Ordinary Differential Equations
Implicit Ordinary or Partial Differential Equations have been widely studied in recent times, essentially from the existence of solutions point of view. One of the main issues is to select a meaningful solution among the infinitely many ones.
Dacorogna, Bernard, Ferriero, Alessandro
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Abstract and Applied Analysis, 2013 Since the collocation method approximates ordinary differential equations, partial differential equations, and integral equations in physical space, it is very easy to implement and adapt to various problems, including variable coefficient and nonlinear ...
A. H. Bhrawy +2 more
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Influence of Nanofluids on Boundary Layer Flow over an Inclined Stretching Sheet in a Porous Media along with Magnetic Field [PDF]
International Journal of Mathematical, Engineering and Management SciencesThe current study intends to analyse the magnetohydrodynamics boundary layer flow of a water-based nanofluid of Silver, Copper and Ferrous Ferric Oxide nanoparticles over a Permeable inclined stretched sheet in a porous media. A similarity transformation
Sham Bansal +3 more
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A NUMERICAL SOLUTION OF IMPLICIT ORDINARY DIFFERENTIAL EQUATIONS
Demonstratio Mathematica, 1992 The numerical solution of initial and boundary value problems for implicit systems of ordinary differential equations: (1) \(F(t,y(t),y'(t))=0\), \(t\in I=[a,b]\) by means of implicit discretization methods of type (2) \(\Phi(t_ n,y_ n,h^{-1}(y_{n+1}-y_ n);h)=0\), is considered.
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Differential Equations and Implicit Functions in Infinitely Many Variables [PDF]
Transactions of the American Mathematical Society, 1916 will be discussed. The results of all three sections of the paper include as special cases the corresponding theorems on functions of a finite number of variables. The notion of a function f of infinitely many variables (xl, x2, **) was brouight into mathematics in the wake of the infinite determinant, the consideration of infinite systems of linear ...
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