Results 41 to 50 of about 88,404 (171)
Journal of Mathematics, 2013 We firstly give some new functions called generalized hyperbolic functions. By the using of the generalized hyperbolic functions, new kinds of transformations are defined to discover the exact approximate solutions of nonlinear partial differential ...
Yusuf Pandir, Halime Ulusoy
doaj +1 more source
On a free boundary problem for biosorption in biofilms
, 2018 The work presents the qualitative analysis of the free boundary value problem related to the biosorption process in multispecies biofilms. In the framework of continuum biofilm modeling, the mathematical problem consists of a system of nonlinear ...
D'Acunto, Berardino +2 more
core +1 more source
On an integral inequality in N-independent variables
International Journal of Mathematics and Mathematical Sciences, 1984 We present a new non-linear integral inequality of the Gronwall-Bellman-Bihari type in n-independent variables with application to pointwise estimates of solutions of a certain class of non-linear hyperbolic partial differential equation.
Olusola Akinyele
doaj +1 more source
Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay [PDF]
Opuscula Mathematica, 2014 We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem.
Tomasz Człapiński
doaj +1 more source
, 2014 This paper investigates the position (state) distribution of the single step binomial (multi-nomial) process on a discrete state / time grid under the assumption that the velocity process rather than the state process is Markovian.
Beumee, Johan GB +3 more
core +1 more source
On the Controllability for Second Order Hyperbolic Equations in Curved Polygons
Trends in Computational and Applied Mathematics, 2007 In this work we study exact boundary controllability for a class of hyperbolic linear partial differential equation with constant coefficient which includes the linear Klein-Gordon equation.
W.D. Bastos, A. Spezamiglio
doaj +1 more source
Invasion moving boundary problem for a biofilm reactor model
, 2017 The work presents the analysis of the free boundary value problem related to the invasion model of new species in biofilm reactors. In the framework of continuum approach to mathematical modelling of biofilm growth, the problem consists of a system of ...
D'Acunto, Berardino +3 more
core +1 more source
Extrapolation techniques for first order hyperbolic partial differential equations [PDF]
, 1980 A uniform grid of step size h is superimposed on the space variable x in the first order hyperbolic partial differential equation ∂u/∂t + a ∂u/∂x = 0 (a > 0, x > 0, t > 0).
Twizell, E H
core
Model order reduction for gas and energy networks
Journal of Mathematics in Industry, 2021 To counter the volatile nature of renewable energy sources, gas networks take a vital role. But, to ensure fulfillment of contracts under these circumstances, a vast number of possible scenarios, incorporating uncertain supply and demand, has to be ...
Christian Himpe +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2020 In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equation for exact solutions.
Supaporn Kaewta +2 more
doaj +1 more source