Results 21 to 30 of about 107 (104)

Development of local, global, and trace estimates for the solutions of elliptic equations

, 2001
Abstract and Applied Analysis, Volume 6, Issue 3, Page 131-150, 2001.
Moulay D. Tidriri
wiley   +1 more source

A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS [PDF]

, 2009
We propose a novel numerical approach for delay differential equations with vanishing proportional delays based on spectral methods. A Legendre-collocation method is employed to obtain highly accurate numerical approximations to the exact solution. It is
Hermann Brunner, Ishtiaq Ali, Tao Tang
core  

Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters

Demonstratio Mathematica
This study is devoted to designing two hybrid computational algorithms to find approximate solutions for a class of singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters.
Ansari Khursheed J., Izadi Mohammad, Noeiaghdam Samad   +2 more
doaj   +1 more source

Approximate Approximations for the Poisson and the Stokes Equations [PDF]

, 2008
The method of approximate approximations is based on generating functions representing an approximate partition of the unity, only. In the present paper this method is used for the numerical solution of the Poisson equation and the Stokes system in R n ...
Tatiana S Samrowski, Werner Varnhorn
core  

High-order finite-difference ghost-point methods for elliptic problems in domains with curved boundaries

Open Mathematics
In this article, a fourth-order finite-difference ghost-point method for the Poisson equation on regular Cartesian mesh is presented. The method can be considered the high-order extension of the second-order ghost method introduced earlier by the authors.
Coco Armando, Russo Giovanni
doaj   +1 more source

Modeling cellular invasion with Physics-Informed DeepONets: High-fidelity learning of growth and diffusion parameters

Physics Open
Modeling cell invasion, vital for cancer and ecological research, demands efficient solutions to the Fisher–Kolmogorov–Petrovsky–Piskunov (Fisher–KPP) reaction–diffusion partial differential equation (PDE).
Parsa Rahbari, AmirAli Fakhari Zavareh, Melika Taheri Soufi, Mahya Pashapour, Mostafa Abbaszadeh   +4 more
doaj   +1 more source

A virtual volume method for heterogeneous and anisotropic diffusion-reaction problems on general meshes [PDF]

, 2017
International audienceStarting from the recently introduced virtual element method, we construct new diffusion fluxes in two and three dimensions that give birth to symmetric, unconditionally coercive finite volume like schemes for the discretization of ...
Julien Coatléven, Coatléven, Julien
core   +1 more source

Parameter uniform hybrid numerical method for time-dependent singularly perturbed parabolic differential equations with large delay

Applied Mathematics in Science and Engineering
In this study, to solve the singularly perturbed delay convection–diffusion–reaction problem, we proposed a hybrid numerical scheme that converges uniformly.
Zerihun Ibrahim Hassen, Gemechis File Duressa   +1 more
doaj   +1 more source

Stable Multiscale Bases and Local Error Estimation for Elliptic Problems

, 1996
This paper is concerned with the analysis of adaptive multiscale techniques for the solution of a wide class of elliptic operator equations covering, in principle, singular integral as well as partial differential operators.
Reinhard Hochmuth, Reinhold Schneider, Dahmen, Wolfgang, Dahlke, Stephan, Schneider, Reinhold, Stephan Dahlke, Wolfgang Dahmen, Hochmuth, Reinhard   +7 more
core   +1 more source

Numerical solution of a PDE arising from prediction with expert advice

European Journal of Applied Mathematics
This work investigates the online machine learning problem of prediction with expert advice in an adversarial setting through numerical analysis of, and experiments with, a related partial differential equation.
Jeff Calder, Nadejda Drenska, Drisana Mosaphir   +2 more
doaj   +1 more source