Results 1 to 10 of about 856 (206)

Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives

Fractal and Fractional, 2023
In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman, Muhammad Marwan, Syed Omar Shah, Lamia Loudahi, Mahvish Samar, Ebrima Bittaye, Altyeb Mohammed Mustafa   +6 more
doaj   +2 more sources

New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations

Complexity, 2020
The role of integer and noninteger order partial differential equations (PDE) is essential in applied sciences and engineering. Exact solutions of these equations are sometimes difficult to find.
Hijaz Ahmad, Ali Akgül, Tufail A. Khan, Predrag S. Stanimirović, Yu-Ming Chu   +4 more
doaj   +1 more source

Variational Integrators [PDF]

, 2004
Variational integrators are a class of discretizations for mechanical systems which are derived by discretizing Hamilton's principle of stationary action.
West, Matthew
core   +1 more source

Variational Methods for Nonsmooth Mechanics [PDF]

, 2003
In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
core   +1 more source

Variational Time Integrators in Computational Solid Mechanics [PDF]

, 2003
This thesis develops the theory and implementation of variational integrators for computational solid mechanics problems, and to some extent, for fluid mechanics problems as well.
Lew, Adrián José
core   +1 more source

An ALE ESFEM for solving PDEs on evolving surfaces [PDF]

, 2012
Numerical methods for approximating the solution of partial differential equations on evolving hypersurfaces using surface finite elements on evolving triangulated surfaces are presented.
Vanessa Styles (4460662), Styles, Vanessa, Charles Martin Elliott (16042838), Elliott, Charles M.   +3 more
core   +1 more source

Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]

, 2009
This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
core   +1 more source

Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]

, 2011
This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce a simplicial Dirac structure as a discrete analogue
Seslija, Marko,, Scherpen, Jacquelien M.A.,, van der Schaft, Abraham, van der Schaft, Abraham; id_orcid, Arjan Van Der Schaft, Jacquelien M. A. Scherpen, van der Schaft, Arjan, Scherpen, Jacquelien M.A., Seslija, Marko, van der Schaft, Arjan ; id_orcid, Marko Seslija, Schaft, Arjan van der,   +11 more
core   +1 more source

Multiscale Geometric Integration of Deterministic and Stochastic Systems [PDF]

, 2011
In order to accelerate computations and improve long time accuracy of numerical simulations, this thesis develops multiscale geometric integrators. For general multiscale stiff ODEs, SDEs, and PDEs, FLow AVeraging integratORs (FLAVORs) have been ...
Tao, Molei
core   +1 more source

A relaxation approach to vector-valued Allen-Cahn MPEC problems [PDF]

, 2011
In this paper we consider a vector-valued Allen-Cahn MPEC problem. To derive optimality conditions we exploit a regularization-relaxation technique. The optimality system of the regularized-relaxed subproblems are investigated by applying the classical ...
Farshbaf-Shaker, Hassan, Farshbaf Shaker, Mohammad Hassan   +1 more
core   +1 more source