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Global uniqueness for a two-dimensional inverse boundary value problem
, 1996We show that the coefficient -y(x) of the elliptic equation Vie (QyVu) = 0 in a two-dimensional domain is uniquely determined by the corresponding Dirichlet-to-Neumann map on the boundary, and give a reconstruction ...
A. Nachman
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2017
This chapter is devoted to boundary value problems for ordinary differential equations. It begins with analysis of the existence and uniqueness of solutions to these problems, and the effect of perturbations to the problem. The first numerical approach is the shooting method. This is followed by finite differences and collocation. Finite elements allow
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This chapter is devoted to boundary value problems for ordinary differential equations. It begins with analysis of the existence and uniqueness of solutions to these problems, and the effect of perturbations to the problem. The first numerical approach is the shooting method. This is followed by finite differences and collocation. Finite elements allow
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Singular boundary value problems
Applicable Analysis, 1986In this chapter we shall provide existence criteria for the nonnegative solutions of the one-dimensional Dirichlet boundary value problem $$ \begin{gathered} y'' - \mu q\left( t \right)f\left( {t,y} \right) = 0,0 < t < 1 \hfill \\ y\left( 0 \right) = a \geqslant 0,y\left( 1 \right) = 0. \hfill \\ \end{gathered} $$ (7.1) where the nonlinearity
L. E. Bobisud +2 more
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2010
Mathematical modeling of mass or heat transfer in solids involves Fick’s law of mass transfer or Fourier’s law of heat conduction. Engineers are interested in the steady state distribution of heat or concentration across the slab or the material in which the experiment is performed.
Venkat R. Subramanian, Ralph E. White
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Mathematical modeling of mass or heat transfer in solids involves Fick’s law of mass transfer or Fourier’s law of heat conduction. Engineers are interested in the steady state distribution of heat or concentration across the slab or the material in which the experiment is performed.
Venkat R. Subramanian, Ralph E. White
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2015
A discussion is given of elliptic–hyperbolic boundary value problems, emphasizing quasilinear methods and Tricomi problems, and including examples of sonic lines having curvature. Recent work of S.-X. Chen on the nonlinear Lavrent’ev–Bitsadze equation is emphasized.
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A discussion is given of elliptic–hyperbolic boundary value problems, emphasizing quasilinear methods and Tricomi problems, and including examples of sonic lines having curvature. Recent work of S.-X. Chen on the nonlinear Lavrent’ev–Bitsadze equation is emphasized.
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On the solution of a boundary value problem associated with a fractional differential equation
, 2020Rezan Sevinik Adıgüzel +3 more
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2019
In this chapter, the field equations derived in the previous chapter are summarized and supplemented by boundary conditions. This results in the boundary value problems of compressible and (nearly) incompressible finite hyperelasticity within both Newtonian and Eshelbian mechanics.
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In this chapter, the field equations derived in the previous chapter are summarized and supplemented by boundary conditions. This results in the boundary value problems of compressible and (nearly) incompressible finite hyperelasticity within both Newtonian and Eshelbian mechanics.
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Fractional boundary value problem with $$\varvec{\psi }$$-Caputo fractional derivative
Proceedings - Mathematical Sciences, 2019Mohammed S Abdo +2 more
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On the accurate discretization of a highly nonlinear boundary value problem
Numerical Algorithms, 2018M. Hajipour, A. Jajarmi, D. Baleanu
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1998
Whereas in initial value problems the solution is determined by conditions imposed at one point only, boundary value problems for ordinary differential equations are problems in which the solution is required to satisfy conditions at more than one point, usually at the two endpoints of the interval in which the solution is to be found.
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Whereas in initial value problems the solution is determined by conditions imposed at one point only, boundary value problems for ordinary differential equations are problems in which the solution is required to satisfy conditions at more than one point, usually at the two endpoints of the interval in which the solution is to be found.
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