Results 31 to 40 of about 88,404 (171)

Population balances in case of crossing characteristic curves: Application to T-cells immune response [PDF]

, 2016
The progression of a cell population where each individual is characterized by the value of an internal variable varying with time (e.g. size, weight, and protein concentration) is typically modeled by a Population Balance Equation, a first order linear ...
Abbott, Bidot, Bidot, Cameron, Coombs, El-Hentati, Elimelech, Grakoui, Haseltine, Hjortso, Hodge, Hong, Ingram, Kavousanakis, Keith, Khalili, Lax, LeVeque, Lifshitz, Majumder, Marchisio, Muhr, Qamar, Qamar, Qamar, Qamar, Ramkrishna, Ramkrishna, Ramkrishna, Randolph, Roussos, Shu, Sidorenko, Sidorenko, Sousa, Stamatakis, Valitutti, Vetter   +37 more
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Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative

Arab Journal of Basic and Applied Sciences, 2018
The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative.
Melike Kaplan, Arzu Akbulut
doaj   +1 more source

Goursat problem in Hyperbolic partial differential equations with variable coefficients solved by Taylor collocation method [PDF]

Iranian Journal of Numerical Analysis and Optimization
The hyperbolic partial differential equation (PDE) has important practical uses in science and engineering. This article provides an estimate for solving the Goursat problem in hyperbolic linear PDEs with variable coefficients.
F. Birem, A. Boulmerka, H. Laib, C. Hennous   +3 more
doaj   +1 more source

A uniqueness criterion for solutions of the Dirichlet problem for a loaded equation with the Lavrent'ev-Bitsadze operator

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The first boundary value problem was considered for the second order loaded differential equation of mixed elliptic-hyperbolic type in a rectangular region.
Olga Anatolievna Arhipova
doaj   +1 more source

On an age and spatially structured population model for Proteus Mirabilis swarm-colony development

, 2007
Proteus mirabilis are bacteria that make strikingly regular spatial-temporal patterns on agar surfaces. In this paper we investigate a mathematical model that has been shown to display these structures when solved numerically.
Laurençot, Philippe, Walker, Christoph
core   +3 more sources

A nonlocal problem for loaded partial differential equations of fourth order

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova, A.E. Imanchiyev, Z.M. Kadirbayeva   +2 more
doaj   +1 more source

A Fresh Look To Exact Solutions of Some Coupled Equations

ITM Web of Conferences, 2018
This manuscript is going to seek travelling wave solutions of some coupled partial differential equations with an expansion method known as Sine- Gordon expansion method.
Karaagac Berat, Yagmurlu Nuri Murat, Esen Alaattin, Kutluay Selcuk   +3 more
doaj   +1 more source

New solutions to a category of nonlinear PDEs

Frontiers in Physics
The nonlinear partial differential equations are not only used in many physical models, but also fundamentally applied in the field of nonlinear science. In order to solve certain nonlinear partial differential equation, the extended hyperbolic auxiliary
Bacui Li, Fuzhang Wang
doaj   +1 more source

A guide to the design of the virtual element methods for second- and fourth-order partial differential equations

Mathematics in Engineering, 2023
We discuss the design and implementation details of two conforming virtual element methods for the numerical approximation of two partial differential equations that emerge in phase-field modeling of fracture propagation in elastic material.
Yu Leng , Lampros Svolos, Dibyendu Adak, Ismael Boureima , Gianmarco Manzini , Hashem Mourad, Jeeyeon Plohr   +6 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