Results 21 to 30 of about 462 (76)
Free Boundary Formulation for BVPs on a Semi-Infinite Interval and Non-Iterative Transformation Methods [PDF]
, 2014 This paper is concerned with two examples on the application of the free boundary formulation to BVPs on a semi-infinite interval. In both cases we are able to provide the exact solution of both the BVP and its free boundary formulation. Therefore, these
Fazio, Riccardo
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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
wiley +1 more source
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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A High-Order Method for Stiff Boundary Value Problems with Turning Points [PDF]
, 1987 This paper describes some high-order collocation-like methods for the numerical solution of stiff boundary-value problems with turning points. The presentation concentrates on the implementation of these methods in conjunction with the implementation of ...
Brown, David L., Lorenz, Jens
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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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Alexandria Engineering Journal, 2023 Boundary conditions involving fractional derivatives of unknown functions are more general and can be used to generalize Dirichlet- or Neumann-type boundary conditions.
Kiran Kumar Saha +2 more
doaj
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
wiley +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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ON THE SOLUTIONS OF THE PROBLEM OF VISCOUS FLOW OVER SHRINKING SHEET
, 2017 In this paper, we explain how the exact closed-form solutions of the classical problems of viscous fluid flow over a heated stretching plate and shrinking sheet can be obtained by a reliable method. AMS Mathematics Subject Classification : 65L10.
L. Bougoffa, A. Wazwaz
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