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b2 -Metric spaces and some fixed point theorems
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Springer International Publishing
, 2014 , Article)
The aim of this paper is to establish the structure of [InlineEquation not available: see fulltext.]-metric spaces, as a generalization of 2-metric spaces. Some fixed point results for various contractive-type mappings in ...
Parallel LQP alternating direction method for solving variational inequality problems with separable structure
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Springer International Publishing
, 2014 , Article)
In this paper, we propose a logarithmic-quadratic proximal alternating direction method for structured variational inequalities. The predictor is obtained by solving series of related systems of nonlinear equations, and ...
Noether symmetries and conservation laws of wave equation on static spherically symmetric spacetimes with higher symmetries
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Elsevier
, 2014 , Article)
In Bokhari et al. (2011), the Noether symmetries of the wave equation on a general spherically symmetric spacetime metric were provided in terms of five functions of the variables t and r subject to certain differential ...
Nanofluid in tilted cavity with partially heated walls
(
Elsevier
, 2014 , Article)
Lattice Boltzmann Method is applied to investigate the natural convection flow utilizing nanofluids in square enclosure with partially heated walls. The fluid in the cavity is a water-based nanofluid containing different ...
A method for generating approximate similarity solutions of nonlinear partial differential equations
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Hindawi Publishing Corporation
, 2014 , Article)
Standard application of similarity method to find solutions of PDEs mostly results in reduction to ODEs which are not easily integrable in terms of elementary or tabulated functions. Such situations usually demand solving ...
Approximate analytic solutions of transient nonlinear heat conduction with temperature-dependent thermal diffusivity
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Hindawi Publishing Corporation
, 2014 , Article)
A new approach for generating approximate analytic solutions of transient nonlinear heat conduction problems is presented. It is based on an effective combination of Lie symmetry method, homotopy perturbation method, finite ...