Results 1 to 10 of about 20,976 (198)
Linear hyperbolic PDEs with non-commutative time [PDF]
Journal of Noncommutative Geometry, 2013 Motivated by wave or Dirac equations on noncommutative deformations of Minkowski space, linear integro-differential equations of the form $(D+\lambda W)f=0$ are studied, where $D$ is a normal or prenormal hyperbolic differential operator on ${\mathbb R ...
Lechner, Gandalf, Verch, Rainer
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Adaptive Fault Estimation for Hyperbolic PDEs [PDF]
Mathematics, 2021 The new adaptive fault estimation scheme is proposed for a class of hyperbolic partial differential equations in this paper. The multiplicative actuator and sensor faults are considered. There are two cases that require special consideration: (1).
Yuan Yuan, Xiaodong Xu, Stevan Dubljevic
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Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems [PDF]
Scientific ReportsIn this paper, two problems involving nonlinear time fractional hyperbolic partial differential equations (PDEs) and time fractional pseudo hyperbolic PDEs with nonlocal conditions are presented.
Saad. Z. Rida +4 more
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Computing Solution Operators of Boundary-value Problems for Some Linear Hyperbolic Systems of PDEs [PDF]
Logical Methods in Computer Science, 2017 We discuss possibilities of application of Numerical Analysis methods to proving computability, in the sense of the TTE approach, of solution operators of boundary-value problems for systems of PDEs.
Svetlana Selivanova, Victor Selivanov
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Hyperbolic extensions of constrained PDEs
Frontiers in PhysicsSystems of partial differential equations (PDEs) comprising a combination of constraints and evolution equations are ubiquitous in physics. For both theoretical and practical reasons, such as numerical integration, it is desirable to have a systematic ...
Fernando Abalos +2 more
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IEEE Open Journal of Intelligent Transportation Systems, 2023 Since its introduction in 2017, physics-informed deep learning (PIDL) has garnered growing popularity in understanding the systems governed by physical laws in terms of partial differential equations (PDEs).
Archie J. Huang, Shaurya Agarwal
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Scientific Reports, 2022 Physics-informed neural networks (PINNs) have enabled significant improvements in modelling physical processes described by partial differential equations (PDEs) and are in principle capable of modeling a large variety of differential equations.
Ruben Rodriguez-Torrado +6 more
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Exact traveling wave solutions for nonlinear PDEs in mathematical physics using the generalized Kudryashov method [PDF]
Serbian Journal of Electrical Engineering, 2016 The generalized Kudryashov method is applied in this article for finding the exact solutions of nonlinear partial differential equations (PDEs) in mathematical physics. Solitons and other solutions are given.
Zayed El-Sayed Mohamed El-Sayed +1 more
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Multidimensional transonic shock waves and free boundary problems
Bulletin of Mathematical Sciences, 2022 We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics.
Gui-Qiang G. Chen, Mikhail Feldman
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Third Order Reconstruction of the KP Scheme for Model of River Tinnelva [PDF]
Modeling, Identification and Control, 2017 The Saint-Venant equation/Shallow Water Equation is used to simulate flow of river, flow of liquid in an open channel, tsunami etc. The Kurganov-Petrova (KP) scheme which was developed based on the local speed of discontinuity propagation, can be used to
Susantha Dissanayake +2 more
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