Solutions of (2+1)-D & (3+1)-D Burgers Equations by New Laplace Variational Iteration Technique
The new Laplace variational iterative method is used in this research for solving the (2+1)-D and (3+1)-D Burgers equations. This technique relies on the modified variational iteration method and the Laplace transform.
Gurpreet Singh +4 more
doaj +1 more source
An alternative method for numerical inversion of Laplace transforms [PDF]
Based on least-squares approximation of the rectangular pulse [1] by exponential functions, this paper presents an alternative method for performing numerical inversion of the Laplace transform. It compares favourably with the celebrated Vlach's method.
Bréhonnet, Pascale +3 more
openaire +2 more sources
Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation
Laplace transform is a powerful tool for solving differential and integrodifferential equations in engineering sciences. The use of Laplace transform for the solution of differential or integrodifferential equations sometimes leads to the solutions in ...
Xiaoli Qiang +3 more
doaj +1 more source
A note on a singular coupled Burgers equation and double Laplace transform method [PDF]
In this paper, modification of double Laplace decomposition method is proposed for the analytical approximation solution of a coupled system of Burgers equation with appropriate initial conditions.
Eltayeb, Hassan +5 more
core +1 more source
Adomian Decomposition Method Combined with Pade Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells [PDF]
Theclassical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4(+)Tcells. The results indicate that the approximate solution by using the ADM is the same as that by using the Laplace ADM, but it can be obtained in ...
Chen F +2 more
core +1 more source
On the q-Laplace Transform and Related Special Functions
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
doaj +1 more source
Asynchronous time-parallel method based on Laplace transform [PDF]
Laplace transform method has proved to be very efficient and easy to parallelize for the solution of time-dependent problems. However, the synchronization delay among processors implies an upper bound on the expectable acceleration factor, which leads to a lot of wasted time.
Frédéric Magoulès, Qinmeng Zou
openaire +2 more sources
Numerical Inverse Laplace Transform Methods for Advection-Diffusion Problems [PDF]
Partial differential equations arising in engineering and other sciences describe nature adequately in terms of symmetry properties. This article develops a numerical method based on the Laplace transform and the numerical inverse Laplace transform for ...
Farman Ali Shah +5 more
core +1 more source
The conformable fractional triple Laplace transform approach, in conjunction with the new Iterative method, is used to examine the exact analytical solutions of the (2 + 1)-dimensional nonlinear conformable fractional Telegraph equation.
Alemayehu Tamirie Deresse
doaj +1 more source
Modified conformable double Laplace–Sumudu approach with applications
In this study, we combine two novel methods, the conformable double Laplace-Sumudu transform (CDLST) and the modified decomposition technique. We use the new approach called conformable double Laplace-Sumudu modified decomposition (CDLSMD) method, to ...
Shams A. Ahmed +3 more
doaj +1 more source

