Results 11 to 20 of about 218,484 (179)

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

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) ∗ ∗ ^{**} For the Laplace equation Δ θ = 0 \Delta \theta = 0 in curvilinear co-ordinates ( u , v , w ...
Levinson, N.   +2 more
openaire   +1 more source

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

A stochastic log-Laplace equation [PDF]

open access: yes, 2003
We study a nonlinear stochastic partial differential equation whose solution is the conditional log-Laplace functional of a superprocess in a random environment. We establish its existence and uniqueness by smoothing out the nonlinear term and making use
Xiong, Jie
core   +2 more sources

Total Head Evaluation using Exact and Finite Element Solutions of Laplace Equation for Seepage of Water under Sheet Pile

open access: yesTikrit Journal of Engineering Sciences, 2018
In this study, the strong and weak forms of Darcy flow equation has been derived. The final obtained equation is Laplace partial differential equation. For total head evaluation, Laplace equation is solved using exact solution depending on Fourier series
Aram Mohammed Raheem
doaj   +3 more sources

The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2023
Integral equations are equations in which the unknown function is found to be inside the integral sign. N. H. Abel used the integral equation to analyze the relationship between kinetic energy and potential energy in a falling object, expressed by two ...
Muhammad Taufik Abdillah   +2 more
doaj   +1 more source

Four-Dimensional N=2(4) Superstring Backgrounds and The Real Heavens [PDF]

open access: yes, 1995
We study N=2(4) superstring backgrounds which are four-dimensional non-\Kahlerian with non-trivial dilaton and torsion fields. In particular we consider the case that the backgrounds possess at least one $U(1)$ isometry and are characterized by the ...
SAKAGUCHI, Makoto
core   +2 more sources

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