Using a hybrid technique for the analytical solution of a coupled system of two-dimensional BurgerŠs equations [PDF]
Our aim in this paper is to investigate the analytical solutions of two dimensional non- linear system of Burger’s equations. We present two problems for the efficiency of the proposed hybrid techniques form by coupling Laplace transform with Adomian ...
Atta Ullah, Kamal Shah
doaj
Efficient pricing options under regime switching [PDF]
In the paper, we propose two new efficient methods for pricing barrier option in wide classes of Lévy processes with/without regime switching. Both methods are based on the numerical Laplace transform inversion formulae and the Fast Wiener-Hopf ...
Oleg Kudryavtsev
core
The explicit Laplace transform for the Wishart process
We derive the explicit formula for the joint Laplace transform of the Wishart process and its time integral which extends the original approach of Bru.
Gnoatto, Alessandro, Grasselli, Martino
core +1 more source
The paper proposes a method to solve the time fractional Fokker–Planck equation using the generalized Hermite spectral method and Laplace transform. By the Laplace transform, the ordinary differential equation about the orthogonal expansion coefficient ...
Lu-feng Yang
doaj +1 more source
A note on time-fractional Navier–Stokes equation and multi-Laplace transform decomposition method [PDF]
Hassan Eltayeb +2 more
openalex +1 more source
Laplace transform of fractional order differential equations
In this article, we show that Laplace transform can be applied to fractional system. To this end, solutions of linear fractional-order equations are first derived by a direct method, without using Laplace transform.
Song Liang, Ranchao Wu, Liping Chen
doaj
Theoretical investigation on resonance characteristics of a vapor bubble based on Laplace transform method. [PDF]
Wang X +5 more
europepmc +1 more source
A Synchronization Criterion for Two Hindmarsh-Rose Neurons with Linear and Nonlinear Coupling Functions Based on the Laplace Transform Method. [PDF]
Su C, Zhen B, Song Z.
europepmc +1 more source
New homotopy analysis transform method for solving multidimensional fractional diffusion equations
In this paper, we introduce a new semi-analytical method called the homotopy analysis Shehu transform method (HASTM) for solving multidimensional fractional diffusion equations.
Shehu Maitama, Weidong Zhao
doaj +1 more source
Solution for Time-Fractional Coupled Burgers Equations by Generalized-Laplace Transform Methods
In this work, nonlinear time-fractional coupled Burgers equations are solved utilizing a computational method, which is called the double and triple generalized-Laplace transform and decomposition method.
Hassan Eltayeb, Said Mesloub
doaj +1 more source

