Application of ANNs approach for wave-like and heat-like equations

Autor: Jafarian Ahmad, Baleanu Dumitru

Publikováno v: Open Physics, Vol 15, Iss 1, Pp 1086-1094 (2017)

Artificial neural networks are data processing systems which originate from human brain tissue studies. The remarkable abilities of these networks help us to derive desired results from complicated raw data. In this study, we intend to duplicate an e

Externí odkaz: https://doaj.org/article/a5a5e8bdd82040e986c5a7cb67d3081c

Numerical methods for accurate description of ultrashort pulses in optical fibers

Autor: Shalva Amiranashvili, Raimondas Čiegis, Uwe Bandelow, Mindaugas Radziunas

Publikováno v: Communications in Nonlinear Science and Numerical Simulation. 67:391-402

We consider a one-dimensional first-order nonlinear wave equation, the so-called forward Maxwell equation (FME), which applies to a few-cycle optical pulse propagating along a preferred direction in a nonlinear medium, e.g., ultrashort pulses in nonl

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5772159242d6f79edaf25f64e45b40bf
https://doi.org/10.1016/j.cnsns.2018.07.031

Numerical solution for fractional Bratu’s initial value problem

Autor: Stanford Shateyi, Fateme Ghomanjani

Publikováno v: Open Physics, Vol 15, Iss 1, Pp 1045-1048 (2017)

In this paper, a method for solving fractional Bratu’s initial value problem (FBIVP) is presented. The main idea behind this work is the use of the Bezier curve method (BCM). To show the efficiency of the developed method, numerical results are pre

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e519c628e81a8d12f5ab5a2ea775d3a1
https://doaj.org/article/73d25fb4814e4fa780a52fdeff76ddae

ANGULAR INTRICACIES IN HOT GAUGE FIELD THEORIES

Autor: Thierry Grandou

Publikováno v: Journal of Mathematical Physics
Journal of Mathematical Physics, American Institute of Physics (AIP), 2004, 45 (12), pp.4754-4763. ⟨10.1063/1.1814418⟩

It is argued that in hot gauge field theories, "Hard Thermal Loops" leading order calculations call for a definite sequence of angular averages and discontinuity (or Imaginary part prescription) operations, and run otherwise into incorrect results. T

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dbdf3b125efdb91bed42e339518333f7
https://doi.org/10.1142/s0217751x05028004

Cellular Computing and Least Squares for partial differential problems parallel solving

Autor: Nicolas Fressengeas, Hervé Frezza-Buet

Publikováno v: Journal of Cellular Automata
Journal of Cellular Automata, Old City Publishing, 2014, 9 (1), pp.1-21
HAL

The pre-print archived version is not the one that is published, as the editor does not formally allow it.; International audience; This paper shows how partial differential problems can be solved thanks to cellular computing and an adaptation of the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07b809441c2b418824bd742b4be357db
https://hal.archives-ouvertes.fr/hal-00107064v8/file/Escapade.pdf