Results 21 to 30 of about 363 (62)
Nonlinear unsteady flow problems by multidimensional singular integral representation analysis
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 50, Page 3203-3216, 2003., 2003 A two‐dimensional nonlinear aerodynamics representation analysis is proposed for the investigation of inviscid flowfields of unsteady airfoils. Such problems are reduced to the solution of a nonlinear multidimensional singular integral equation as the source and vortex strength distributions are dependent on the history of these distributions on the ...
E. G. Ladopoulos
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Ain Shams Engineering Journal, 2018 In this paper, a new wavelet based hybrid method is developed for obtaining the solution of higher order linear and nonlinear boundary value problems. The proposed method is based on approximation of solution by non-dyadic wavelets family with dilation ...
Geeta Arora, Ratesh Kumar, Harpreet Kaur
doaj +1 more source
Rigorous numerics for nonlinear operators with tridiagonal dominant linear part [PDF]
, 2015 We present a method designed for computing solutions of infinite dimensional non linear operators $f(x) = 0$ with a tridiagonal dominant linear part. We recast the operator equation into an equivalent Newton-like equation $x = T(x) = x - Af(x)$, where $A$
Breden, Maxime +2 more
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A Galerkin method of O(h2) for singular boundary value problems
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 6, Page 361-369, 2002., 2002 We describe a Galerkin method with special basis functions for a class of singular two‐point boundary value problems. The convergence is shown which is of O(h2) for a certain subclass of the problems.
G. K. Beg, M. A. El-Gebeily
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Numerical solution of fractional Sturm-Liouville equation in integral form [PDF]
, 2014 In this paper a fractional differential equation of the Euler-Lagrange / Sturm-Liouville type is considered. The fractional equation with derivatives of order $\alpha \in \left( 0,1 \right]$ in the finite time interval is transformed to the integral form.
Blaszczyk, Tomasz, Ciesielski, Mariusz
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A higher‐order method for nonlinear singular two‐point boundary value problems
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 5, Page 257-269, 2002., 2002 We present a finite difference method for a general class of nonlinear singular two‐point boundary value problems. The order of convergence of the method for such a general class of problems is higher than the previous reported methods. The method yields a fourth‐order convergence for the special case p(x) = w(x) = xα, α ≥ 1.
K. M. Furati, M. A. El-Gebeily
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Two new algorithms for discrete boundary value problems
International Journal of Stochastic Analysis, Volume 3, Issue 1, Page 1-13, 1990., 1989 We propose two new methods of constructing the solutions of linear multi‐point discrete boundary value problems. These methods are applied to solve some continuous two‐point boundary value problems which are known to be numerically unstable.
Ravi P. Agarwal, Tara R. Nanda
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International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 561-574, 1988., 1987 In the present report, we investigate the formulation, for the numerical evaluation of the multidimensional singular integrals and integral equations, used in the theory of linear viscoelasticity. Some simple formulas are given for the numerical solution of the general case of the multidimensional singular integrals.
E. G. Ladopoulos
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Spline solutions for nonlinear two point boundary value problems
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 151-167, 1980., 1980 Necessary formulas are developed for obtaining cubic, quartic, quintic, and sextic spline solutions of nonlinear boundary value problems. These methods enable us to approximate the solution of the boundary value problems, as well as their successive derivatives smoothly.
Riaz A. Usmani
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Static Spherically Symmetric Solutions of the SO(5) Einstein Yang-Mills Equations
, 2009 Globally regular (ie. asymptotically flat and regular interior), spherically symmetric and localised ("particle-like") solutions of the coupled Einstein Yang-Mills (EYM) equations with gauge group SU(2) have been known for more than 20 years, yet their ...
Bartnik, Robert A. +2 more
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