Results 21 to 30 of about 216,973 (262)
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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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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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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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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Transparent boundary conditions based on the Pole Condition for time-dependent, two-dimensional problems [PDF]
, 2012 The pole condition approach for deriving transparent boundary conditions is extended to the time-dependent, two-dimensional case. Non-physical modes of the solution are identified by the position of poles of the solution's spatial Laplace transform in ...
Alpert +27 more
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A generalization of the Hopf-Cole transformation for stationary Mean Field Games systems [PDF]
, 2015 In this note we propose a transformation which decouples stationary Mean Field Games systems with superlinear Hamiltonians of the form |p|^r, and turns the Hamilton-Jacobi-Bellman equation into a quasi-linear equation involving the r-Laplace operator ...
Cirant, Marco
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Validity and regularization of classical half-space equations
, 2016 Recent result [Wu and Guo, Comm. Math. Phys., 2015] has shown that over the 2D unit disk, the classical half-space equation (CHS) for the neutron transport does not capture the correct boundary layer behaviour as long believed. In this paper we develop a
Li, Qin, Lu, Jianfeng, Sun, Weiran
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MathematicsThis paper introduces a singular distance function rs in terms of a symmetric non-negative metric tensor S. If S satisfies a quadratic matrix equation involving a parameter β, then for the Laplace equation rsβ is a non-singular generalized radial basis ...
Chein-Shan Liu, Chung-Lun Kuo
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