Fast integral equation methods for the Laplace-Beltrami equation on the sphere [PDF]
, 2013 Integral equation methods for solving the Laplace-Beltrami equation on the unit sphere in the presence of multiple "islands" are presented. The surface of the sphere is first mapped to a multiply-connected region in the complex plane via a stereographic ...
A. Kropinski +2 more
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The Fourier Regularization for Solving a Cauchy Problem for the Laplace Equation with Uncertainty
AxiomsThe Laplace equation is an important partial differential equation, typically used to describe the properties of steady-state distributions or passive fields in physical phenomena.
Xiaoya Liu, Yiliang He, Hong Yang
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DBEM solutions to modified Helmholtz problems for FGMs of space–time-dependent properties
Results in PhysicsA combined Laplace transform (LT) and domain-boundary element method (DBEM) are utilized to obtain numerical solutions for a spatio-temporal coefficient modified Helmholtz-type equation with arbitrary initial conditions and source terms, addressing ...
Mohammad Ivan Azis
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On the solution of two-dimensional fractional Black–Scholes equation for European put option
Advances in Difference Equations, 2020 The purpose of this paper was to investigate the dynamics of the option pricing in the market through the two-dimensional time fractional-order Black–Scholes equation for a European put option.
Din Prathumwan, Kamonchat Trachoo
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Comments on numerical solution of boundary value problems of the Laplace equation and calculation of eigenvalues by the grid method [PDF]
The mathematics involved in numerically solving for the plane boundary value of the Laplace equation by the grid method is developed. The approximate solution of a boundary value problem for the domain of the Laplace equation by the grid method consists ...
Lyusternik, L. A.
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He–Laplace method for nonlinear vibration systems and nonlinear wave equations
Journal of Low Frequency Noise, Vibration and Active Control, 2019 This study suggests a new approach for solving telegraph equation, commonly called damped wave equation, arising in electromagnetic waves and propagation of electrical signals.
Muhammad Nadeem, Fengquan Li
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Approximate analytical solutions of distributed order fractional Riccati differential equation
Ain Shams Engineering Journal, 2018 In this paper, the combined Laplace transform and new homotopy perturbation method is employed for solving a special class of the distributed order fractional Riccati equation.
Hossein Aminikhah +2 more
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Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations
Boundary Value Problems, 2007 We consider the problem −div(|∇u|p−2∇u)=a(x)(um+λun), x∈â„ÂN, N≥3, where ...
Zuodong Yang, Bing Xu
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On the integral equation of an adjoint boundary value problem of heat conduction
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 An integral equation is considered, to which a nonhomogeneous first boundary value problem with an adjoint heat conduction operator is reduced. The problem is set in an infinite plane angle, that is, a boundary of the domain moves with a constant ...
M.T. Kosmakova +4 more
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The "Balloon-Like" Sign: Differential Diagnosis between Postoperative Air Leak and Residual Pleural Space: Radiological Findings and Clinical Implications of the Young-Laplace Equation. [PDF]
Cancers (Basel), 2022 Petrella F +7 more
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