Results 11 to 20 of about 20,976 (198)

A Hyperbolic PDE with Parabolic Behavior [PDF]

SIAM Review, 2004
Summary: We present a hyperbolic partial differential equation (PDE) in one space and one time dimension. This equation arose in a study of numerical schemes for simulating evolving river topographies. The solution of this PDE, whose initial data are specified along a characteristic, is very similar to that of the canonical diffusion equation.
Davison, Matt, Doeschl, Andrea
openaire   +2 more sources

Unsteady mhd flow of tangent hyperbolic liquid past a vertical porous plate plate

Heliyon, 2023
The analysis in this communication addresses the unsteady MHD flow of tangent hyperbolic liquid through a vertical plate. The model on mass and heat transport is set up with Joule heating, heat generation, viscous dissipation, thermal radiation, chemical
Naga Pavani M, G. Venkata Ramana Reddy, Ali Akgül, Muhammad Bilal Riaz   +3 more
doaj   +1 more source

Riemann Invariants and Rank-k Solutions of Hyperbolic Systems [PDF]

, 2005
In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions.
Burnat M, Courant R, Dafermos C, Doyle P W, Dubrovin B A, Ferapontov E V, Ferapontov E V, Ferapontov E V, Grundland A M, Grundland A M, Grundland A M, John F, Majda A, Olver P J, Olver P J, Pavlov M V, Peradzynski Z, Peradzynski Z, Poisson S D, Rozdestvenskii B   +19 more
core   +3 more sources

Weak Continuity and Compactness for Nonlinear Partial Differential Equations [PDF]

, 2015
We present several examples of fundamental problems involving weak continuity and compactness for nonlinear partial differential equations, in which compensated compactness and related ideas have played a significant role.
Chen, Gui-Qiang G.
core   +1 more source

An Efficient Numerical Approach for Solving Nonlinear Coupled Hyperbolic Partial Differential Equations with Nonlocal Conditions

Abstract and Applied Analysis, 2014
One of the most important advantages of collocation method is the possibility of dealing with nonlinear partial differential equations (PDEs) as well as PDEs with variable coefficients.
A. H. Bhrawy, M. A. Alghamdi, Eman S. Alaidarous   +2 more
doaj   +1 more source

Constructions of solitary travelling wave solutions for Ito integro-differential equation arising in plasma physics

Results in Physics, 2020
Constructing exact and numerical solutions of partial differential equations (PDEs) has become an active area in recent years. This work focuses on developing new exact and numerical solutions for (1+1)- dimensional Ito integro-differential equation by ...
Abdulghani R. Alharbi, M.B. Almatrafi, Kh. Lotfy   +2 more
doaj   +1 more source

Clawpack: building an open source ecosystem for solving hyperbolic PDEs [PDF]

PeerJ Computer Science, 2016
Clawpack is a software package designed to solve nonlinear hyperbolic partial differential equations using high-resolution finite volume methods based on Riemann solvers and limiters.
Kyle T. Mandli, Aron J. Ahmadia, Marsha Berger, Donna Calhoun, David L. George, Yiannis Hadjimichael, David I. Ketcheson, Grady I. Lemoine, Randall J. LeVeque   +8 more
doaj   +2 more sources

The system of equations for the ion sound and Langmuir waves and its new exact solutions

Results in Physics, 2018
The present study deals with the system of equations for the ion sound and Langmuir waves (SEISLWs). Distinct integration schemes, including the modified Kudraysov method (MKM) and the hyperbolic function method (HFM) with the help of symbolic ...
Aly R. Seadawy, D. Kumar, K. Hosseini, F. Samadani   +3 more
doaj   +1 more source

An Analytical Approach for Fractional Hyperbolic Telegraph Equation Using Shehu Transform in One, Two and Three Dimensions

Mathematics, 2022
In the present research paper, an iterative approach named the iterative Shehu transform method is implemented to solve time-fractional hyperbolic telegraph equations in one, two, and three dimensions, respectively. These equations are the prominent ones
Mamta Kapoor, Nehad Ali Shah, Salman Saleem, Wajaree Weera   +3 more
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