The Experts below are selected from a list of 98121 Experts worldwide ranked by ideXlab platform
Muhammad Asif Zahoor Raja - One of the best experts on this subject based on the ideXlab platform.
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intelligent computing for Numerical Treatment of nonlinear prey predator models
Applied Soft Computing, 2019Co-Authors: Muhammad Umar, Zulqurnain Sabir, Muhammad Asif Zahoor RajaAbstract:Abstract In this study, a new computing paradigm is presented for evaluation of dynamics of nonlinear prey–predator mathematical model by exploiting the strengths of integrated intelligent mechanism through artificial neural networks, genetic algorithms and interior-point algorithm. In the scheme, artificial neural network based differential equation models of the system are constructed and optimization of the networks is performed with effective global search ability of genetic algorithm and its hybridization with interior-point algorithm for rapid local search. The proposed technique is applied to variants of nonlinear prey–predator models by taking different rating factors and comparison with Adams Numerical solver certify the correctness for each scenario. The statistical studies have been conducted to authenticate the accuracy and convergence of the design methodology in terms of mean absolute error, root mean squared error and Nash-Sutcliffe efficiency performance indices.
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Numerical Treatment for hydro magnetic unsteady channel flow of nanofluid with heat transfer
Results in physics, 2018Co-Authors: Saeed Ehsan Awan, Zuhaib Ashfaq Khan, Muhammad Awais, Saeed Ur Rehman, Muhammad Asif Zahoor RajaAbstract:Abstract In this study, Numerical Treatment is performed to study the dynamical analysis of hydro-magnetic nanofluids problem for heat and mass transfer of an unsteady nanofluid flow between parallel plates by exploiting the strength of Adams and explicit Runge-Kutta method. Original PDEs of the model are transformed to equivalent system of ODEs by utilizing the similarity transformations. Numerical and graphical illustrations prove the validity of the proposed methods for number of scenarios of the system by considering different physical quantities such as the squeeze number, Nusselt number, Schmidt number, Hartmann number, thermophoretic parameter, Brownian motion parameter, and Eckert number.
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Numerical Treatment for hydro-magnetic unsteady channel flow of nanofluid with heat transfer
Elsevier, 2018Co-Authors: Saeed Ehsan Awan, Zuhaib Ashfaq Khan, Muhammad Awais, Saeed Ur Rehman, Muhammad Asif Zahoor RajaAbstract:In this study, Numerical Treatment is performed to study the dynamical analysis of hydro-magnetic nanofluids problem for heat and mass transfer of an unsteady nanofluid flow between parallel plates by exploiting the strength of Adams and explicit Runge-Kutta method. Original PDEs of the model are transformed to equivalent system of ODEs by utilizing the similarity transformations. Numerical and graphical illustrations prove the validity of the proposed methods for number of scenarios of the system by considering different physical quantities such as the squeeze number, Nusselt number, Schmidt number, Hartmann number, thermophoretic parameter, Brownian motion parameter, and Eckert number. Keywords: Fluid dynamics, Nanotechnology, Thermophoresis, Numerical computing, Magnetohydrodynamic
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design of bio inspired computing technique for nanofluidics based on nonlinear jeffery hamel flow equations
Canadian Journal of Physics, 2016Co-Authors: Muhammad Asif Zahoor Raja, Mohmmad Abdul Rehman Khan, Tariq Mahmood, Umair Farooq, Naveed Ishtiaq ChaudharyAbstract:In this study, stochastic Numerical Treatment is presented for boundary value problems (BVPs) arising in nanofluidics for nonlinear Jeffery–Hamel flow (NJ-HF) equations using feed-forward artificia...
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stochastic Numerical Treatment for thin film flow of third grade fluid using unsupervised neural networks
Journal of The Taiwan Institute of Chemical Engineers, 2015Co-Authors: Muhammad Asif Zahoor Raja, Junaid Ali Khan, T HaroonAbstract:Abstract In the present study, novel soft computing techniques are developed for Numerical Treatment of non-linear thin film flow (TFF) problem of third grade fluids using artificial neural networks (ANNs), particle swarm optimization (PSO), sequential quadratic programming (SQP), and their hybrid combinations. The strength of universal function approximation capabilities of ANNs is exploited in formulation of mathematical model of the problem based on an unsupervised error. The training of the design parameter of the networks is performed with PSO, SQP, and hybrid approach PSO–SQP. The proposed schemes are evaluated on four variants of the two cases of TFF problems by taking different values of material parameter and Stokes number. The reliability and effectiveness of the proposed approaches are validated through the results of statistical analyses based on sufficient large number of independent runs.
Jorge A Laval - One of the best experts on this subject based on the ideXlab platform.
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on the Numerical Treatment of moving bottlenecks
Transportation Research Part B-methodological, 2005Co-Authors: Carlos F Daganzo, Jorge A LavalAbstract:Abstract This paper shows how moving obstructions in (kinematic wave) traffic streams can be modeled with “off-the shelf” computer programs. It shows that if a moving obstruction is replaced by a sequence of fixed obstructions at nearby locations with the same “capacity”, then the error in vehicle number converges uniformly to zero as the maximum separation between the moving and fixed bottlenecks is reduced. This result implies that average flows, densities, accumulations and delays can be predicted as accurately as desired with this method. Thus, any convergent finite difference scheme can be used to model moving bottlenecks. The approach can be used with non-concave fundamental diagrams and multiple bottlenecks, even if they pass each other. Examples are given. It is assumed that the bottleneck trajectories are exogenous to the model. However, by introducing suitable car-following laws and interaction rules, slow trucks and busses embedded in the traffic stream can be modeled endogenously.
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on the Numerical Treatment of moving bottlenecks
Research Papers in Economics, 2003Co-Authors: Carlos F Daganzo, Jorge A LavalAbstract:This report is part of PATH Task Order 4141 and shows how moving obstructions can be modeled Numerically with kinematic wave theory. It shows that if a moving obstruction is replaced by a sequence of fixed obstructions at nearby locations with the same "capacity", then the error in vehicle number converges uniformly to zero as the maximum separation between the moving and fixed bottlenecks is reduced. This result implies that average flows, densities, accumulations and delays can be predicted as accurately as desired with this method. Thus, any convergent finite difference scheme can now be used to model moving bottlenecks. An example is given.
Mircea Bîrsan - One of the best experts on this subject based on the ideXlab platform.
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Numerical Treatment of a geometrically nonlinear planar Cosserat shell model
Computational Mechanics, 2016Co-Authors: Oliver Sander, Patrizio Neff, Mircea BîrsanAbstract:We present a new way to discretize a geometrically nonlinear elastic planar Cosserat shell. The kinematical model is similar to the general six-parameter resultant shell model with drilling rotations. The discretization uses geodesic finite elements (GFEs), which leads to an objective discrete model which naturally allows arbitrarily large rotations. GFEs of any approximation order can be constructed. The resulting algebraic problem is a minimization problem posed on a nonlinear finite-dimensional Riemannian manifold. We solve this problem using a Riemannian trust-region method, which is a generalization of Newton’s method that converges globally without intermediate loading steps. We present the continuous model and the discretization, discuss the properties of the discrete model, and show several Numerical examples, including wrinkling of thin elastic sheets in shear.
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Numerical Treatment of a geometrically nonlinear planar cosserat shell model
arXiv: Numerical Analysis, 2014Co-Authors: Oliver Sander, Patrizio Neff, Mircea BîrsanAbstract:We present a new way to discretize a geometrically nonlinear elastic planar Cosserat shell. The kinematical model is similar to the general 6-parameter resultant shell model with drilling rotations. The discretization uses geodesic finite elements, which leads to an objective discrete model which naturally allows arbitrarily large rotations. Finite elements of any approximation order can be constructed. The resulting algebraic problem is a minimization problem posed on a nonlinear finite-dimensional Riemannian manifold. We solve this problem using a Riemannian trust-region method, which is a generalization of Newton's method that converges globally without intermediate loading steps. We present the continuous model and the discretization, discuss the properties of the discrete model, and show several Numerical examples, including wrinkles of thin elastic sheets in shear.
Cristobal Bertoglio - One of the best experts on this subject based on the ideXlab platform.
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benchmark problems for Numerical Treatment of backflow at open boundaries
International Journal for Numerical Methods in Biomedical Engineering, 2018Co-Authors: Cristobal Bertoglio, Alfonso Caiazzo, Yuri Bazilevs, Malte Braack, Mahdi Esmaily, Volker Gravemeier, Alison L Marsden, Olivier PironneauAbstract:In computational fluid dynamics, incoming velocity at open boundaries, or backflow, often yields unphysical instabilities already for moderate Reynolds numbers. Several Treatments to overcome these backflow instabilities have been proposed in the literature. However, these approaches have not yet been compared in detail in terms of accuracy in different physiological regimes, in particular because of the difficulty to generate stable reference solutions apart from analytical forms. In this work, we present a set of benchmark problems in order to compare different methods in different backflow regimes (with a full reversal flow and with propagating vortices after a stenosis). The examples are implemented in FreeFem++, and the source code is openly available, making them a solid basis for future method developments.
R C Everson - One of the best experts on this subject based on the ideXlab platform.
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Numerical Treatment of the population balance equation using a spline galerkin method
Computers & Chemical Engineering, 1994Co-Authors: Louwrence Erasmus, D Eyre, R C EversonAbstract:This paper describes a Numerical technique for solving the Lifshitz-Slyozov equation of continuity which applies to certain mass transfer proceses. The Lifshitz-Slyozov equation which describes a mechanism involving the transfer of atoms (or undissociated molecules) from smaller particles to larger particles dispersed in a supersaturated medium (Ostwald ripening) is also considered together with collision and subsequent coalescence of particles (ripening plus collection). Special attention is given to the case in which the net growth rate appearing in the Lifshitz-Slyozov equation is a nonsmooth function of the type I(υ) α υβ, where υ is the particle volume and O<β<1. The basic Numerical approach is to perform a spatial discretization of the equations using a projection technique on a space of cubic splines. A Galerkin technique and a θ-method for solving systems of ordinary differential equations is used to determine the expansion coefficients. The performance of the Numerical method is investigated by solving equations that arise in population balance. It is shown that in the case of a combination of ripening plus collection that a single initial particle size distribution can evolve into a double distribution of particle sizes.
