Hyperbolic B-Spline Function-Based Differential Quadrature Method for the Approximation of 3D Wave Equations by Mohammad Tamsir, Mutum Zico Meetei, Ahmed H. Msmali

“…The main purpose of this work is to present an accurate, economically easy-to-implement, and stable technique for solving hyperbolic partial differential equations.…”
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Large data problems in fluid dynamics and general relativity by Athanasiou, N

“…<p>In this thesis we contribute to the study of two large data problems within the realm of Hyperbolic Partial Differential Equations. The first result concerns the Relativistic Euler equations, which adequately describe fluid motion in the context of special relativity.…”

A random projection method for sharp phase boundaries in lattice Boltzmann simulations by Reis, T, Dellar, P

“…This spurious behaviour is remarkably similar to that associated with the numerical simulation of hyperbolic partial differential equations coupled with a stiff source term. …”

Weak discontinuity waves in n-type semiconductors with defects of dislocation by Maria Paola Mazzeo, Liliana Restuccia

“…In this paper a Boillat's methodology is applied to investigate discontinuity waves of a system of quasi-linear hyperbolic partial differential equations (PDEs), describing the interactions between the electronic and dislocation fields in extrinsic semiconductors with defects of dislocation. …”
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Phase-fitted and amplification-fitted Runge-Kutta type methods for solving linear differential equations with oscillatory solutions by Salih, Mohammed Mahmood

“…The non fitted RKN method for LODEs is also used for solving hyperbolic partial differential equations. Numerical results show that all the methods are more accurate then the existing methods in the secientific literature.…”
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A stable implementation measure of multi-transmitting formula in the numerical simulation of wave motion. by Jie Su, Zhenghua Zhou, Yuandong Li, Bing Hao, Qing Dong, Xiaojun Li

“…In view of a physical interpretation of the Gustafsson, Kreiss and Sundström criterion on numerical solutions of initial-boundary value problems in the hyperbolic partial differential equations, the mechanism of the drift instability of MTF was discussed, and a simple measure for eliminating the drift instability was proposed by introducing a modified operator into the MTF. …”
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Application of CFD Techniques on Numerical Computaion of Objective Electromagnetic Characteristic by Xu Yong, Huang Yong, Sun Junfeng

“…MAXWELL equations of electromagnetism are hyperbolic partial differential equations with real characteristic values as the non-viscous Euler equations of hydrodynamics, so the same mathematical characteristic makes it possible to apply computational fluid dynamics(CFD) techniques into computational electromagnetism(CEM) to get high precision electromagnetic fields. …”
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Anomalous Stochastic Transport of Particles with Self-Reinforcement and Mittag–Leffler Distributed Rest Times by Daniel Han, Dmitri V. Alexandrov, Anna Gavrilova, Sergei Fedotov

“…The model involves a system of hyperbolic partial differential equations with a non-local switching term described by the Riemann–Liouville derivative. …”
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Polynomial-based mean weighted residuals methods for elliptic problems with nonlocal boundary conditions in the rectangle by Jesus Martín-Vaquero

“…These methods can also be combined with others (as, for example, finite difference or spline methods) to solve linear and nonlinear parabolic or hyperbolic partial differential equations. The numerical study of some techniques as those explained above can help to obtain significantly better numerical approximations with a smaller computational effort.…”
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Population balance modeling for crystallization processes by Png, Marcus Kok Kwang.

“…PBM involves hyperbolic partial differential equations which often cannot be solved analytically. …”
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Numerical interactions of random and directed motility during cancer invasion by Perumpanani, A, Norbury, J

“…The continuum modelling of cell migration during cancer invasion results in the coupling of parabolic and hyperbolic partial differential equations (PDEs) arising from the random motility of normal tissue and the directed movement up substrate gradients of malignant cells. …”

Exponential Stability of Switched Linear Hyperbolic Initial-Boundary Value Problems by Amin, Saurabh, Hante, Falk M., Bayen, Alexandre M.

“…We consider the initial-boundary value problem governed by systems of linear hyperbolic partial differential equations in the canonical diagonal form and study conditions for exponential stability when the system discontinuously switches between a finite set of modes. …”
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Population balance modeling for crystallization processes by Kuah, Kenny Wen Cheong.

“…PBM involves hyperbolic partial differential equations (PDE) which often do not have analytical solution. …”
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The escalator boxcar train method for a system of age-structured equations in the space of measures by Carrillo de la Plata, JA, Gwiazda, P, Kropielnicka, K, Marciniak-Czochra, AK

“…Recently the method has been derived for an age-structured twosex population model (Fredrickson-Hoppenstaedt model), which consists of three coupled hyperbolic partial differential equations with nonlocal boundary conditions. …”

Differential games described by infinite system of differential equations by Mat Hasim, Risman

“…Different approaches have been used by many researchers to solve control problems for parabolic and hyperbolic partial differential equations. Some of these problems can be reduced to the ones described by infinite systems of ordinary differential equations by using the decomposition method. …”
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On the numerical solution of some differential equations with nonlocal integral boundary conditions via Haar wavelet by Imran Aziz, Muhammad Nisar, Siraj ul-Islam

“…The validity of the proposed method is demonstrated by solving several benchmark test problems from the literature: two elliptic linear and two nonlinear samples covering both types of nonlocal integral boundary conditions; one nonlinear and two linear test problems for parabolic partial differential equations; two linear samples for hyperbolic partial differential equations. The accuracy of the method is verified by comparing the numerical results with the analytical solutions. …”
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Dissipative Boundary Control for an Adiabatic Plug Flow Reactor With Mass Recycle by Marco A. Zarate-Navarro, Stevan Dubljevic, Armando Campos-Rodriguez, Efren Aguilar-Garnica, J. Paulo Garcia-Sandoval

“…In this contribution the stability properties and regulation of a class of convective systems described by first order hyperbolic partial differential equations with boundary recycle is studied. …”
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Adaptive Fault Estimation for Hyperbolic PDEs by Yuan Yuan, Xiaodong Xu, Stevan Dubljevic

“…The new adaptive fault estimation scheme is proposed for a class of hyperbolic partial differential equations in this paper. The <i>multiplicative</i> actuator and sensor faults are considered. …”
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Rational Transfer Function Model for a Double-Pipe Parallel-Flow Heat Exchanger by Krzysztof Bartecki

“…Using the method of lines with the backward difference scheme, the original symmetric hyperbolic partial differential equations describing the heat transfer phenomena are transformed into a set of ordinary differential equations and expressed in the form of <i>N</i> subsystems representing spatial sections of the exchanger. …”
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Numerical solution of special ultra-relativistic Euler equations using central upwind scheme by Tayabia Ghaffar, Muhammad Yousaf, Shamsul Qamar

“…The governing equations are coupled first-order nonlinear hyperbolic partial differential equations. These equations describe perfect fluid flow in terms of the particle density, the four-velocity and the pressure. …”
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