Results 21 to 30 of about 218,484 (179)
Path Laplacian operators and superdiffusive processes on graphs. I. One-dimensional case [PDF]
, 2017 We consider a generalization of the diffusion equation on graphs. This generalized diffusion equation gives rise to both normal and superdiffusive processes on infinite one-dimensional graphs.
Estrada, Ernesto +3 more
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Jacobi elliptic coordinates, functions of Heun and Lame type and the Niven transform [PDF]
, 2005 Lame and Heun functions arise via separation of the Laplace equation in general Jacobi ellipsoidal or conical coordinates. In contrast to hypergeometric functions that also arise via variable separation in the Laplace equation, Lame and Heun functions ...
Kalnins, Ernie G., Miller, W., Jr.
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Alexandria Engineering Journal, 2023 Financial derivatives plays a major role in all financial deals these days. Black–Scholes option pricing model gives a risk free analysis for investing in options. In the current work, a method called the Laplace Perturbation Iteration Algorithm is being
Fareeha Sami Khan +4 more
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On the q-Laplace Transform and Related Special Functions
Axioms, 2016 Motivated by statistical mechanics contexts, we study the properties of the q-Laplace transform, which is an extension of the well-known Laplace transform. In many circumstances, the kernel function to evaluate certain integral forms has been studied. In
Shanoja R. Naik, Hans J. Haubold
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Advances in Mathematical Physics, 2020 In this paper, the rational spectral method combined with the Laplace transform is proposed for solving Robin time-fractional partial differential equations.
Lufeng Yang
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Higher-order Laplace equations and hyper-Cauchy distributions [PDF]
, 2013 In this paper we introduce new distributions which are solutions of higher-order Laplace equations. It is proved that their densities can be obtained by folding and symmetrizing Cauchy distributions.
D'Ovidio, Mirko, Orsingher, Enzo
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Journal of Mathematics, 2022 The Quasi-Reversibility Regularization Method (Q-RRM) provides stable approximate solution of the Cauchy problem of the Helmholtz equation in the Hilbert space by providing either additional information in the Laplace-type operator in the Helmholtz ...
Benedict Barnes +3 more
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Transmutation Operator Method for Solving Heat Conduction Problem [PDF]
EPJ Web of Conferences, 2021 The transmutation operator method is extended to the case of functions of two variables. The transmutation operator flattens the function, i.e. the transmutation operator replaces a function with discontinuous partial derivatives on the coordinate axes ...
Yaremko Oleg, Yaremko Natalia
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Tutte's invariant approach for Brownian motion reflected in the quadrant [PDF]
, 2016 We consider a Brownian motion with drift in the quarter plane with orthogonal reflection on the axes. The Laplace transform of its stationary distribution satisfies a functional equation, which is reminiscent from equations arising in the enumeration of (
Franceschi, Sandro, Raschel, Kilian
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Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result [PDF]
, 2009 We study two equations of Lotka-Volterra type that describe the Darwinian evolution of a population density. In the first model a Laplace term represents the mutations. In the second one we model the mutations by an integral kernel. In both cases, we use
Barles, Guy +2 more
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