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Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems
Abstract El-Gebeily, M.A., A. Boumenir and M.B.M. Elgindi, Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems, Journal of Computational andExpand
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Homotopy method for the eigenvalues of symmetric tridiagonal matrices
TLDR
We will present the homotopy method for finding eigenvalues of symmetric, tridiagonal matrices. Expand
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Finite Element Analysis of the Ramberg-Osgood Bar
In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniquenessExpand
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On the numerical solution of perturbed bifurcation problems
Some numerical schemes, baseduponNewton's and chord methods, for thecomputations of the perturbed bifurcation points as well as the solution curves through them, are presented. The "initial" guessesExpand
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Finite difference solutions of the heat equation in a molten polymer flowing in a circular tube
We present the mathematical equations that govern heat transfer in a polymer melt flowing in a circular tube with constant ambient temperature, taking into account the viscous dissipation effects.Expand
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A Lumped-Parameter Model for Nonlinear Waves in Graphene
A lumped-parameter nonlinear spring-mass model which takes into account the third-order elastic stiffness constant is considered for modeling the free and forced axial vibrations of a graphene sheetExpand
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On the shooting method for a class of two-point singular nonlinear boundary value problems
This paper is concerned with the application of the shooting method to a class of two-point singular nonlinear boundary value problems. An explicit fourth order single-step method for the solution ofExpand
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[Fentanyl versus sufentanil basic anesthesia. Hypnotic effect, muscle rigidity and efficacy of competitive muscle relaxants].
As induction agents for cardioanesthesia, sufentanil (S) and fentanyl (F) are usually employed in combination with nondepolarizing muscle relaxants. We investigated potential interactions of theseExpand
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A Note on the Proof of the Perron-Frobenius Theorem
This paper provides a simple proof for the Perron-Frobenius theorem concerned with positive matrices using a homotopy technique. By analyzing the behaviour of the eigenvalues of a family of positiveExpand
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An initial value problem method for a class of two-point weakly singular nonlinear boundary value problems
We present an iterative method, based on the solution of singular initial value problems, for the numerical integration of a class of two-point weakly singular nonlinear boundary value problems.
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