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2020
In this chapter, we’ll discuss the essential steps of solving boundary value problems (BVPs) of ordinary differential equations (ODEs) using MATLAB’s built-in solvers. The only difference between BVPs and IVPs is that the given differential equation in a BVP is valid within two boundary conditions, which are the initial and end conditions. A BVP can be
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In this chapter, we’ll discuss the essential steps of solving boundary value problems (BVPs) of ordinary differential equations (ODEs) using MATLAB’s built-in solvers. The only difference between BVPs and IVPs is that the given differential equation in a BVP is valid within two boundary conditions, which are the initial and end conditions. A BVP can be
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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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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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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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1969
Now we ask if we can determine a solution of the Maxwell equations in such a way that their boundary values assume specified values on a closed regular surface. It has already been shown that a field E, H which satisfies the equations exterior to a regular region, the radiation condition, and on the boundary surface F, vanishes ...
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Now we ask if we can determine a solution of the Maxwell equations in such a way that their boundary values assume specified values on a closed regular surface. It has already been shown that a field E, H which satisfies the equations exterior to a regular region, the radiation condition, and on the boundary surface F, vanishes ...
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Navigating financial toxicity in patients with cancer: A multidisciplinary management approach
Ca-A Cancer Journal for Clinicians, 2022Grace L Smith +2 more
exaly
Cervical cancer prevention and control in women living with human immunodeficiency virus
Ca-A Cancer Journal for Clinicians, 2021Philip E Castle +2 more
exaly
General Boundary-Value Problems
1992Section 5.1 introduces the general elliptic linear differential equation of second order together with the Dirichlet boundary values. An important statement is the maximum-minimum principle in §5.1.2. In §5.1.3 sufficient conditions for the uniqueness of the solution and the continuous dependence on the data are proved.
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