Positive Solutions for Some Semi-positone Problems with Nonlinear Boundary Conditions via Bifurcation Theory
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DOI: 10.1007/s00009-019-1443-6
Abstract: Bifurcation theory is used to prove the existence of positive solutions of some classes of semi-positone problems with nonlinear boundary conditions $$\begin{aligned} {\left\{ \begin{array}{ll} -u''=\lambda f(t, u), \qquad t\in (0,1),\\ u(0)=0, \quad u'(1)+c(u(1))u(1)=0,\\ \end{array}\right. }… read more here.
Keywords: problems nonlinear; positive solutions; positone problems; bifurcation theory ... See more keywords
Nonlinear Boundary-Layer Problems and Laminar Vortical Streams Generated by Resonant Sloshing in a Tank with Circular Base
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04357-z
Abstract: For a viscous incompressible liquid with laminar flows, we deduce nonlinear boundary-layer problems for the near-surface flows near wetted surfaces (wall and bottom) of a rigid tank with circular base partly filled with a liquid… read more here.
Keywords: layer problems; boundary layer; nonlinear boundary; tank circular ... See more keywords
On the accurate discretization of a highly nonlinear boundary value problem
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DOI: 10.1007/s11075-017-0455-1
Abstract: The aim of this manuscript is to investigate an accurate discretization method to solve the one-, two-, and three-dimensional highly nonlinear Bratu-type problems. By discretization of the nonlinear equation via a fourth-order nonstandard compact finite… read more here.
Keywords: discretization highly; accurate discretization; highly nonlinear; problem ... See more keywords
The Nehari Manifold Approach for a p(x)-Laplacian Problem with Nonlinear Boundary Conditions
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DOI: 10.1007/s11253-017-1350-6
Abstract: We consider a class of p(x)-Laplacian equations involving nonnegative weight functions with nonlinear boundary conditions. Our technical approach is based on the Nehari manifold, which is similar to the fibering method proposed by Drabek and… read more here.
Keywords: nehari manifold; manifold approach; boundary conditions; approach laplacian ... See more keywords
High-accuracy quadrature methods for solving nonlinear boundary integral equations of axisymmetric Laplace’s equation
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DOI: 10.1007/s40314-018-0714-3
Abstract: In this article, we study the numerical solutions of axisymmetric Laplace’s equation with nonlinear boundary conditions. The problem could be converted into nonlinear boundary integral equations by the ring potential theory. The mechanical quadrature method… read more here.
Keywords: laplace equation; axisymmetric laplace; accuracy; boundary integral ... See more keywords
Improved Kansa RBF method for the solution of nonlinear boundary value problems
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2017.11.012
Abstract: Abstract We apply the Kansa–radial basis function (RBF) collocation method to two-dimensional nonlinear boundary value problems. In it, the solution is approximated by a linear combination of RBFs and the governing equation and boundary conditions… read more here.
Keywords: kansa rbf; value; boundary value; improved kansa ... See more keywords
On nonlinear boundary value problem corresponding to N-dimensional inverse spectral problem
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DOI: 10.1016/j.jde.2018.10.003
Abstract: We establish a relationship between an inverse optimization spectral problem for N-dimensional Schr\"odinger equation $ -\Delta \psi+q\psi=\lambda \psi $ and a solution of the nonlinear boundary value problem $-\Delta u+q_0 u=\lambda u- u^{\gamma-1},~~u>0,~~ u|_{\partial \Omega}=0$.… read more here.
Keywords: value problem; spectral problem; boundary value; problem ... See more keywords
An inverse problem in time-fractional diffusion equations with nonlinear boundary condition
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DOI: 10.1063/1.5047074
Abstract: This paper deals with the 1D time-fractional diffusion equations with nonlinear boundary condition. We first give an integral equation of the solution via the theta-function and eigenfunction expansion and establish the short time asymptotic behavior… read more here.
Keywords: boundary condition; fractional order; time; solution ... See more keywords
Blow-up phenomena for a class of nonlinear reaction-diffusion equations under nonlinear boundary conditions
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DOI: 10.1080/00036811.2018.1478079
Abstract: ABSTRACT The paper considers the blow-up solution for the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: where p>2 and is a bounded convex domain with smooth boundary . By means of constructing auxiliary functions… read more here.
Keywords: boundary conditions; equations nonlinear; diffusion equations; reaction diffusion ... See more keywords
Application of Riemann–Hilbert Problem Solutions to a Study of Nonlinear Boundary Value Problems for Timoshenko Type Inhomogeneous Shells with Free Edges
Sign Up to like & getrecommendations! Published in 2018 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080218060203
Abstract: The paper deals with the study of solvability of geometrically nonlinear boundary value problem for elastic shallow isotropic inhomogeneous shells with free edges within S. P. Timoshenko shear model. The problem is reduced to one… read more here.
Keywords: free edges; boundary value; inhomogeneous shells; shells free ... See more keywords
Lie-Group Shooting/Boundary Shape Function Methods for Solving Nonlinear Boundary Value Problems
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DOI: 10.3390/sym14040778
Abstract: In the numerical integration of the second-order nonlinear boundary value problem (BVP), the right boundary condition plays the role as a target equation, which is solved either by the half-interval method (HIM) or a new… read more here.
Keywords: nonlinear boundary; function; shape function; boundary shape ... See more keywords