The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients [PDF]
, 2012 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The boundary element method (BEM) has become a powerful method for the numerical solution of boundary-value problems (BVPs), due to its ability (at least ...
Al-Jawary, Majeed
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Adaptive meshless centres and RBF stencils for Poisson equation [PDF]
, 2011 We consider adaptive meshless discretisation of the Dirichlet problem for Poisson equation based on numerical differentiation stencils obtained with the help of radial basis functions. New meshless stencil selection and adaptive refinement algorithms are
Oleg Davydov +3 more
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A dynamic convergence control scheme for the solution of the radial equilibrium equation in through-flow analyses [PDF]
, 2010 One of the most frequently encountered numerical problems in scientific analyses is the solution of non-linear equations. Often the analysis of complex phenomena falls beyond the range of applicability of the numerical methods available in the public ...
Templalexis, I. +3 more
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Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]
, 2012 This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L +7 more
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Radial solutions to semilinear elliptic equations via linearized operators
Electronic Journal of Qualitative Theory of Differential Equations, 2017 Let $u$ be a classical solution of semilinear elliptic equations in a ball or an annulus in $\mathbb{R}^N$ with zero Dirichlet boundary condition where the nonlinearity has a convex first derivative.
Phuong Le
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Radially Symmetric Solutions of a Nonlinear Elliptic Equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We investigate the existence and asymptotic behavior of positive, radially symmetric singular solutions of w′′ + ((N − 1)/r)w′−|w|p−1w = 0, r > 0. We focus on the parameter regime N > 2 and 1 < p < N/(N − 2) where the equation has the closed form, positive singular solution w1 = (4 − 2(N − 2)(p − 1)/(p − 1) 2) 1/(p−1)r−2/(p−1), r > 0 ...
Edward P. Krisner, William C. Troy
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Radial-Artery or Saphenous-Vein Grafts in Coronary-Artery Bypass Surgery [PDF]
, 2018 BACKGROUND: The use of radial-artery grafts for coronary-artery bypass grafting (CABG) may result in better postoperative outcomes than the use of saphenous-vein grafts.
Benedetto, Umberto +7 more
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Radial Basis Function Pseudospectral Method for Solving Standard Fitzhugh-Nagumo Equation [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 In this article, a pseudospectral approach based on radial basis functions is considered for the solution of the standard Fitzhugh-Nagumo equation. The proposed radial basis function pseudospectral approach is truly mesh free.
Geeta Arora, Gurpreet Singh Bhatia
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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Radial solutions for a Dirichlet problem in a ball
Journal of Differential Equations, 1985 Let \(\Omega \subset {\mathbb{R}}^ N\) be a bounded smooth domain. Let \(\lambda_ 1\) be the first eigenvalue of -\(\Delta\) on \(H^ 1_ 0(\Omega)\) and let \(\Phi_ 1>0\) be a corresponding eigenfunction. The Ambrosetti-Prodi problem \[ (1)\quad -\Delta u=f(x,u)+h(x)+t\Phi_ 1(x)\quad in\quad \Omega,\quad u=0\quad on\quad \partial \Omega, \] where \(t\in
Costa, D.G, de Figueiredo, D.G
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