Results 41 to 50 of about 38,753 (164)

The Vanishing Moment Method for Fully Nonlinear Second Order Partial Differential Equations: Formulation, Theory, and Numerical Analysis [PDF]

, 2011
The vanishing moment method was introduced by the authors in [37] as a reliable methodology for computing viscosity solutions of fully nonlinear second order partial differential equations (PDEs), in particular, using Galerkin-type numerical methods such
Feng, Xiaobing, Neilan, Michael
core  

Weak Continuity and Compactness for Nonlinear Partial Differential Equations [PDF]

, 2015
We present several examples of fundamental problems involving weak continuity and compactness for nonlinear partial differential equations, in which compensated compactness and related ideas have played a significant role.
Chen, Gui-Qiang G.
core   +1 more source

Optimal Explicit Strong Stability Preserving Runge--Kutta Methods with High Linear Order and optimal Nonlinear Order [PDF]

, 2014
High order spatial discretizations with monotonicity properties are often desirable for the solution of hyperbolic PDEs. These methods can advantageously be coupled with high order strong stability preserving time discretizations.
Gottlieb, Sigal, Grant, Zachary J., Higgs, Daniel   +2 more
core  

Applications of the neuro-evolutionary approach to the parabolic type partial differential equations

Ain Shams Engineering Journal
This work aims to investigate the Cuckoo search-active set algorithm (CS-ASA), which is based on the artificial neural network (ANN) approach to the nonlinear partial differential equations (PDEs).
Waseem, Asad Ullah, Emad A.A. Ismail, Fuad A. Awwad   +3 more
doaj   +1 more source

Symbolic Computation of Conservation Laws of Nonlinear Partial Differential Equations in Multi-dimensions

, 2005
A direct method for the computation of polynomial conservation laws of polynomial systems of nonlinear partial differential equations (PDEs) in multi-dimensions is presented. The method avoids advanced differential-geometric tools.
Ablowitz, Ablowitz, Adams, Anco, Anco, Anderson, Anderson, Barnett, Cantarella, Deconinck, Dellar, Eklund, Faddeev, Gao, Gao, Göktaş, Göktaş, Hereman, Hereman, Hereman, Hickman, Krasil'shchik, Kruskal, Marsden, Newell, Olver, Sanz-Serna, Svendsen, Wolf, Wolf   +29 more
core   +1 more source

Classification of integrable super-systems using the SsTools environment [PDF]

, 2006
A classification problem is proposed for supersymmetric evolutionary PDE that satisfy the assumptions of nonlinearity and nondegeneracy. Four classes of nonlinear coupled boson-fermion systems are discovered under the homogeneity assumption |f|=|b|=|D_t|=
A.V. Kiselev, Ayari, Carstea, Carstea, Champagne, Gragert, Hereman, Kersten, Kiselev, Kiselev, Krasil'shchik, Krasil'shchik, Krivonos, Kupershmidt, Mikhailov, Olver, Popowicz, T. Wolf, Tsuchida, Wolf, Wolf   +20 more
core   +2 more sources

Entropy Generation and Thermal Radiation Analysis of EMHD Jeffrey Nanofluid Flow: Applications in Solar Energy

Nanomaterials, 2023
This article examines the effects of entropy generation, heat transmission, and mass transfer on the flow of Jeffrey fluid under the influence of solar radiation in the presence of copper nanoparticles and gyrotactic microorganisms, with polyvinyl ...
Bhupendra Kumar Sharma, Anup Kumar, Rishu Gandhi, Muhammad Mubashir Bhatti, Nidhish Kumar Mishra   +4 more
doaj   +1 more source

Wave Solutions

, 2012
In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
core   +1 more source

Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method [PDF]

مجلة جامعة الانبار للعلوم الصرفة
Complex partial differential equation (CPDEs( appeared around the year 1900. D. Pompeiu was a famous mathematician who left a large impact in this field through introducing the Pompeiu integral operator, which forms a basis in the subject CDEs.
Amal Alhassan, Radhi Ali Zaboon, Shatha Alhily   +2 more
doaj   +1 more source

Impact of the nonlinear thermal radiation on the Arrhenius activation energy of tangent hyperbolic micropolar hybrid nanofluid flow across an extending surface

Partial Differential Equations in Applied Mathematics
Our study is built on a rigorous methodology, exploring the impact of hybridized nanofluids flow with magnetohydrodynamics and micropolar properties over a stretched sheet.
MD. Shamshuddin, Balasani Srinitha, S.O. Salawu, M. Sunder Ram   +3 more
doaj   +1 more source