Results 11 to 20 of about 28,710 (302)

Non-Singular Generalized RBF Solution and Weaker Singularity MFS: Laplace Equation and Anisotropic Laplace Equation

open access: yesMathematics
This 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
doaj   +2 more sources

The jump problem for the laplace equation

open access: yesApplied Mathematics Letters, 2001
The paper is devoted to the jump problem for the Laplace equation outside cuts in a plane. The author studied the problems under considerations with different conditions at infinity, which in turn lead to different uniqueness and existence theorems. Moreover, the singularities of the solutions at the ends of the cuts are investigated.
Krutitskii, P.A., P.A. Krutitskii
openaire   +2 more sources

Numerical inverse Laplace transform based on Bernoulli polynomials operational matrix for solving nonlinear differential equations

open access: yesResults in Physics, 2020
A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
doaj   +1 more source

General solutions of the Laplace equation

open access: yesPartial Differential Equations in Applied Mathematics, 2022
With the purpose of concisely and effectively obtaining the general or exact solutions of partial differential equations (PDEs), we put forward some universal Z1transformations in present paper.
Hong Lai Zhu
doaj   +1 more source

On the critical p-Laplace equation

open access: yesAdvances in Mathematics, 2023
We improved the exposition in Section 2 concerning regularity issues of ...
Catino G.   +2 more
openaire   +4 more sources

Solving Intuitionistic Fuzzy Transport Equations by Intuitionistic Fuzzy Laplace Transforms [PDF]

open access: yesITM Web of Conferences, 2022
In this paper, we use an intuitionistic fuzzy Laplace transforms for solving intuitionistic fuzzy hyperbolic equations precisely the transport equation with intuitionistic fuzzy data under strongly generalized H-differentiability concept.
Belhallaj Zineb   +3 more
doaj   +1 more source

Numerical solution of Bagley–Torvik equation including Atangana–Baleanu derivative arising in fluid mechanics

open access: yesResults in Physics, 2023
Differential equations involving fractional order operators appear frequently in various research areas. Solving a differential equation containing a fractional derivative is very difficult.
Kamran   +4 more
doaj   +1 more source

Separation of Laplace’s equation [PDF]

open access: yesQuarterly of Applied Mathematics, 1949
The following results are established in this paper: (I) ∗
Levinson, N.   +2 more
openaire   +1 more source

Precise Solution of Laplace's Equation [PDF]

open access: yesMathematics of Computation, 1995
An approximate method is described for solving Laplace’s equation \[ {
Shi, Zhixin, Hassard, Brian
openaire   +2 more sources

An Approximate Solution of the Time-Fractional Two-Mode Coupled Burgers Equation

open access: yesFractal and Fractional, 2021
In this paper, we consider the time-fractional two-mode coupled Burgers equation with the Caputo fractional derivative. A modified homotopy perturbation method coupled with Laplace transform (He-Laplace method) is applied to find its approximate ...
Rachana Shokhanda   +3 more
doaj   +1 more source

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