Results 21 to 30 of about 11,641,731 (252)

The New G-Double-Laplace Transforms and One-Dimensional Coupled Sine-Gordon Equations

Axioms
This paper establishes a novel technique, which is called the G-double-Laplace transform. This technique is an extension of the generalized Laplace transform.
Hassan Eltayeb, Said Mesloub
doaj   +1 more source

Computational methods based laplace decomposition for solving nonlinear system of fractional order differential equations

Alexandria Engineering Journal, 2018
In this paper, we considered nonlinear systems of fractional order differential equations. They have been solved by a computational methods which are so-called Laplace Adomian decomposition method (LADM) and modified Laplace decomposition method (MLDM ...
Osama H. Mohammed, Huda A. Salim
doaj   +1 more source

A note on a singular coupled Burgers equation and double Laplace transform method [PDF]

, 2018
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, Hassan Eltayeb, Said Mesloub, Kilicman, Adem, Mesloub, Said, Adem Kılıçman   +5 more
core   +1 more source

The Rational Spectral Method Combined with the Laplace Transform for Solving the Robin Time-Fractional Equation

Advances in Mathematical Physics, 2020
In this paper, the rational spectral method combined with the Laplace transform is proposed for solving Robin time-fractional partial differential equations.
Lufeng Yang
doaj   +1 more source

A Laplace Transform Method for the Image In-Painting

Journal of Algorithms & Computational Technology, 2015
There are many image processing techniques based on partial differential equations that perform well, but they consume much computational time. It's vital that rapid and efficient ways of solving these equations are developed.
N. Kokulan, C.-H. Lai
doaj   +1 more source

Application of the inverse Laplace transform techniques to solve the generalized Bagley–Torvik equation including Caputo’s fractional derivative

Partial Differential Equations in Applied Mathematics
This article employs the Laplace transform approach to solve the Bagley–Torvik equation including Caputo’s fractional derivative. Laplace transform is a powerful method for enabling solving integer and non-integer order ODEs and PDEs in engineering and ...
Dania Santina, Kamran, Muhammad Asif, Salma Aljawi, Nabil Mlaiki   +4 more
doaj   +1 more source

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

Results 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

High‐Resolution Corrosion Fingerprinting of Alloy Libraries via Microdroplet Spectroelectrochemistry

Advanced Engineering Materials, EarlyView.
Ionic‐liquid microdroplet spectroelectrochemistry enables stable, localized electrochemical measurements over extended timescales. By coupling impedance spectroscopy, wetting analysis, finite‐element simulations, and operando Raman spectroscopy, it disentangles geometrical and electrochemical effects, opening new opportunities for rapid corrosion ...
Ekaterina Kurchavova, Oumaïma Gharbi, Mireille Turmine, Vincent Vivier   +3 more
wiley   +1 more source

A comparative study of Bagley–Torvik equation under nonsingular kernel derivatives using Weeks method

Open Physics
Modeling several physical events leads to the Bagley–Torvik equation (BTE). In this study, we have taken into account the BTE, including the Caputo–Fabrizio and Atangana–Baleanu derivatives. It becomes challenging to find the analytical solution to these
Kamran, Asif Muhammad, Mukheimer Aiman, Shah Kamal, Abdeljawad Thabet, Alotaibi Fahad M.   +5 more
doaj   +1 more source

Non-Gaussian Quadrature Integral Transform Solution of Parabolic Models with a Finite Degree of Randomness

Mathematics, 2020
In this paper, we propose an integral transform method for the numerical solution of random mean square parabolic models, that makes manageable the computational complexity due to the storage of intermediate information when one applies iterative methods.
María-Consuelo Casabán, Rafael Company, Lucas Jódar   +2 more
doaj   +1 more source