Results 1 to 10 of about 31,891 (82)
A generalisation of the Malgrange–Ehrenpreis theorem to find fundamental solutions to fractional PDEs [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We present and prove a new generalisation of the Malgrange–Ehrenpreis theorem to fractional partial differential equations, which can be used to construct fundamental solutions to all partial differential operators of rational order and many of arbitrary
Dumitru Baleanu, Arran Fernandez
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Strain gradient elasticity within the symmetric BEM formulation [PDF]
Fracture and Structural Integrity, 2014 The symmetric Galerkin Boundary Element Method is used to address a class of strain gradient elastic materials featured by a free energy function of the (classical) strain and of its (first) gradient.
S. Terravecchia +2 more
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KoopmanLab: Machine learning for solving complex physics equations
APL Machine Learning, 2023 Numerous physics theories are rooted in partial differential equations (PDEs). However, the increasingly intricate physics equations, especially those that lack analytic solutions or closed forms, have impeded the further development of physics ...
Wei Xiong +5 more
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Discrete Fundamental Solution Preconditioning for Hyperbolic Systems of PDE [PDF]
Journal of Scientific Computing, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Henrik Brandén +2 more
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Fundamental Solutions for a Family of Sub-elliptic PDEs [PDF]
Pure and Applied Mathematics Quarterly, 2007 In this article, we survey the behavior of the subRiemannian geodesics induced by a family of sub-elliptic partial differential equations, especially the sub-Laplacian on the Heisenberg group. In particular, we discuss the complex action function and volume element along the geodesics.
Ovidiu Calin +2 more
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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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Fundamental Solution for Cauchy Initial Value Problem for Parabolic PDEs with Discontinuous Unbounded First-Order Coefficient at the Origin. Extension of the Classical Parametrix Method [PDF]
Acta Applicandae Mathematicae, 2020 We prove the existence of a fundamental solution of the Cauchy initial boundary value problem on the whole space for a parabolic partial differential equation with discontinuous unbounded first-order coefficient at the origin. We establish also non-asymptotic, rapidly decreasing at infinity, upper and lower estimates for the fundamental solution.
Formica M. R., Ostrovsky E., Sirota L.
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Thermal analysis of Williamson fluid flow with Lorentz force on the stretching plate
Case Studies in Thermal Engineering, 2022 This study is dedicated to the semi-analytical solution of the problem by managing the inclined Lorentz force and variable viscosity impacts on Williamson nanofluid as visco-inelastic fluids on a stretching plate.
Bahram Jalili +4 more
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Convergence analysis of the scaled boundary finite element method for the Laplace equation [PDF]
, 2020 The scaled boundary finite element method (SBFEM) is a relatively recent boundary element method that allows the approximation of solutions to PDEs without the need of a fundamental solution.
Bertrand, Fleurianne +2 more
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Mathematics, 2023 A mathematical model for the unsteady, two-dimensional mixed convection stagnation point flow over a Riga plate is presented in this study. Convective boundary conditions, time-dependent derivatives, mixed convection, radiation effects, and the Grinberg ...
Rusya Iryanti Yahaya +4 more
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