Results 11 to 20 of about 52,350 (200)
Results in Physics, 2022 The optical solitons of the generalized third-order nonlinear Schrödinger’s equation are investigated by Liu et al. (2022). In this letter, we propose a new one-step method namely the direct mapping method for the first time to study it.
Kang-Jia Wang
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Frontiers in Physics, 2020 In this paper Extrapolated Stabilized Explicit Runge-Kutta methods (ESERK) are proposed to solve nonlinear partial differential equations (PDEs) in right triangles.
Jesús Martín-Vaquero
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Convergent finite difference methods for one-dimensional fully nonlinear second order partial differential equations [PDF]
, 2013 This paper develops a new framework for designing and analyzing convergent finite difference methods for approximating both classical and viscosity solutions of second order fully nonlinear partial differential equations (PDEs) in 1-D.
Feng, Xiaobing +2 more
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Results in Physics, 2020 This article describes the heat and mass transport mechanism for non-Newtonian Cross fluid model past a wedge in the presence of hydrodynamic (MHD) and first order chemical reaction. The effects of hydromagnetic are also incorporated in momentum, thermal,
Muhammad Shahzad +4 more
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A class of second-order geometric quasilinear hyperbolic PDEs and their application in imaging science [PDF]
, 2019 In this paper, we study damped second-order dynamics, which are quasilinear hyperbolic partial differential equations (PDEs). This is inspired by the recent development of second-order damping systems for accelerating energy decay of gradient flows.
Dong, Guozhi +2 more
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Branching process representation for nonlinear first-order conservation PDEs in 1D
, 2023 We show that a large class of 1D first-order conservation PDEs can be probabilistically represented using multi-type branching processes. The representation holds when the initial conditions are linear combinations of negative exponentials. We also show that in some cases, the time of gradient blow up can be identified by studying criticality ...
Hoogendijk, Jochem, Kryven, Ivan
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International Journal of Mathematics and Mathematical Sciences, 2014 Singular nonlinear initial-value problems (IVPs) in first-order and second-order partial differential equations (PDEs) arising in fluid mechanics are semianalytically solved. To achieve this, the modified decomposition method (MDM) is used in conjunction
Nemat Dalir
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Distributed optimal control of a nonstandard system of phase field equations [PDF]
, 2011 We investigate a distributed optimal control problem for a phase field model of Cahn-Hilliard type. The model describes two-species phase segregation on an atomic lattice under the presence of diffusion; it has been recently introduced by the same ...
B.D. Coleman +17 more
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Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity [PDF]
Annales de l'Institut Fourier, 2001 In this paper, we calculate the formal Gevrey index of the formal solution of a class of nonlinear first order totally characteristic type partial differential equations with irregular singularity in the space variable. We also prove that our index is the best possible one in a generic case.
Chen, Hua +2 more
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Mathematics, 2020 We consider a family of nonlinear singularly perturbed PDEs whose coefficients involve a logarithmic dependence in time with confluent Fuchsian singularities that unfold an irregular singularity at the origin and rely on a single perturbation parameter ...
Stephane Malek
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