Results 31 to 40 of about 692,049 (294)

Lie Point Symmetries, Traveling Wave Solutions and Conservation Laws of a Non-linear Viscoelastic Wave Equation

open access: yesMathematics, 2021
This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
doaj   +1 more source

Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
doaj   +1 more source

Numerical study of fractional model of multi-dimensional dispersive partial differential equation

open access: yesJournal of Ocean Engineering and Science, 2019
This article is devoted to a newly introduced numerical method for time-fractional dispersive partial differential equation in a multi-dimensional space.
Vijay Verma   +3 more
doaj   +1 more source

The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation

open access: yesResults in Physics
Due to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
doaj   +1 more source

Convergent Filtered Schemes for the Monge-Ampère Partial Differential Equation [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2012
The theory of viscosity solutions has been effective for representing and approximating weak solutions to fully nonlinear partial differential equations such as the elliptic Monge--Ampere equation.
Brittany D. Froese, Adam M. Oberman
semanticscholar   +1 more source

Infection Models for Pine Wilt Disease on the Basis of Vector Behaviors

open access: yesPopulation Ecology, EarlyView.
Infection models for pine wilt disease without vector density were built to estimate the transmission coefficient of the pathogenic nematode. The models successfully simulated the annual change in the density of infected trees for four pine stands. ABSTRACT Pine wilt disease is caused by the pinewood nematode (Bursaphelenchus xylophilus Steiner et ...
Katsumi Togashi
wiley   +1 more source

Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems

open access: yesBoundary Value Problems, 2018
This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
doaj   +1 more source

Large deviations for stochastic Kuramoto–Sivashinsky equation with multiplicative noise

open access: yesNonlinear Analysis, 2021
The Kuramoto–Sivashinsky equation is a nonlinear parabolic partial differential equation, which describes the instability and turbulence of waves in chemical reactions and laminar flames. The aim of this work is to prove the large deviation principle for
Gregory Amali Paul Rose   +2 more
doaj   +1 more source

Stochastic partial differential equation based modelling of large space–time data sets [PDF]

open access: yes, 2012
Increasingly larger data sets of processes in space and time ask for statistical models and methods that can cope with such data. We show that the solution of a stochastic advection–diffusion partial differential equation provides a flexible model class ...
Fabio Sigrist, H. Künsch, W. Stahel
semanticscholar   +1 more source

Speciation Through the Lens of Population Dynamics: A Theoretical Primer on How Small and Large Populations Diverge

open access: yesPopulation Ecology, EarlyView.
Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi   +3 more
wiley   +1 more source

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