Results 1 to 10 of about 11 (11)
Infant Mental Health Journal: Infancy and Early Childhood, Volume 42, Issue 1, Page 21-34, January/February 2021., 2021 ABSTRACT Parental reflective functioning (PRF) is an important predictor of infant attachment, and interventions that target parent–infant/toddler dyads who are experiencing significant problems have the potential to improve PRF. A range of dyadic interventions have been developed over the past two decades, some of which explicitly target PRF as part ...
Jane Barlow +2 more
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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
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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
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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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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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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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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur +6 more
wiley +1 more source