Results 11 to 20 of about 476 (175)
Journal of Function SpacesThe objective of this research is to establish an effective methodology for addressing specific linear, nonlinear, singular n+1-dimensional fractional pseudo-hyperbolic equations via the use of the multi-Sumudu and generalized Laplace transforms combined
Hassan Eltayeb, Said Mesloub
doaj +2 more sources
Journal of Applied Mathematics, 2021 The objective of this paper is to compute the new modified method of variational iteration and the Laplace Adomian decomposition method for the solution of nonlinear fractional partial differential equations.
Mohamed Z. Mohamed +4 more
doaj +1 more source
Modified Variational Iteration Technique for the Numerical Solution of Fifth Order KdV-type Equations [PDF]
Journal of Applied and Computational Mechanics, 2020 In this article, a simple and new algorithm is proposed, namely the modified variational iteration algorithm-I (mVIA-I), for obtaining numerical solutions to different types of fifth-order Korteweg de-Vries (KdV) equations.
Hijaz Ahmad +3 more
doaj +1 more source
Alexandria Engineering Journal, 2020 In this article, we investigate the semi-analytic solutions of non-linear Volterra fractional integro-differential equations by using Laplace Adomian decomposition method. We discuss the method in general and provide examples for the illustration purpose.
Hussam Alrabaiah +3 more
doaj +1 more source
Advances in Mathematical Physics, 2022 In this article, we use the p-Laplace decomposition method to find the solution to the initial value problems that involve generalized fractional derivatives. The p-Laplace decomposition method is used to get approximate series solutions.
Mohamed Elbadri
doaj +1 more source
A note on time-fractional Navier–Stokes equation and multi-Laplace transform decomposition method
Advances in Difference Equations, 2020 In this study, the double Laplace Adomian decomposition method and the triple Laplace Adomian decomposition method are employed to solve one- and two-dimensional time-fractional Navier–Stokes problems, respectively.
Hassan Eltayeb +2 more
doaj +1 more source
Complexity, 2022 In this work, we proposed a new method called conformable fractional double Laplace–Sumudu transform decomposition method (CFDLSTDM) to solve fractional partial differential equations (FPDEs).This method is a combination of the Laplace–Sumudu transform ...
Jia Honggang, Zhao Yanmin
doaj +1 more source
Solution for the Nonlinear Relativistic Harmonic Oscillator via Laplace-Adomian Decomposition Method [PDF]
International Journal of Applied and Computational Mathematics, 2016 Far as we know there are not exact solutions to the equation of motion for a relativistic harmonic oscillator. In this paper, the relativistic harmonic oscillator equation which is a nonlinear ordinary differential equation is studied by means of a combined use of the Adomian Decomposition Method and the Laplace Transform (LADM).
González-Gaxiola, O. +2 more
openaire +2 more sources
An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations
Mathematics, 2019 In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative.
Hassan Khan +4 more
doaj +1 more source
On Solutions Of Random Partial Differential Equations With Laplace Adomian Decomposition Method
Cumhuriyet Science Journal, 2023 In this study, random partial differential equations obtained by randomly choosing the coefficients or initial conditions of partial differential equations will be analyzed. With the help of Laplace Adomian Decomposition Method and Homotopy Analysis Method, approximate analytical solutions of random partial differential equations were obtained. Initial
Mehmet Merdan, Nihal Atasoy
openaire +2 more sources