Results 21 to 30 of about 128 (58)
Finite‐part singular integral approximations in Hilbert spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 52, Page 2787-2793, 2004., 2004 Some new approximation methods are proposed for the numerical evaluation of the finite‐part singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on itself.
E. G. Ladopoulos +2 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 61, Page 3873-3891, 2003., 2003 A numerical method based on cubic spline with exponential fitting factor is given for the selfadjoint singularly perturbed two‐point boundary value problems. The scheme derived in this method is second‐order accurate. Numerical examples are given to support the predicted theory.
Mohan K. Kadalbajoo, Kailash C. Patidar
wiley +1 more source
Boundary value problems of a discrete generalized beam equation via variational methods
Open Mathematics, 2018 The authors explore the boundary value problems of a discrete generalized beam equation. Using the critical point theory, some sufficient conditions for the existence of the solutions are obtained.
Liu Xia, Zhou Tao, Shi Haiping
doaj +1 more source
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
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
, 2015 A method of cubic spline collocation for construction of approximate solution of first order differential equation with impulse effect under Dirichlet’s boundary value conditions is considered. Software-ready realization of the method is proposed.
V. Donev
semanticscholar +1 more source