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The Solution of Two-Dimensional Coupled Burgers’ Equation by G-Double Laplace Transform

Journal of Function Spaces, 2023
The two-dimensional coupled Burgers’ equation, a foundational partial differential equation, boasts widespread relevance across numerous scientific domains.
Reem K. Alhefthi, Hassan Eltayeb
doaj   +3 more sources

Analytical Solutions to Two-Dimensional Nonlinear Telegraph Equations Using the Conformable Triple Laplace Transform Iterative Method

Advances in Mathematical Physics, 2022
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   +2 more sources

Solutions of Two-Dimensional Nonlinear Sine-Gordon Equation via Triple Laplace Transform Coupled with Iterative Method

Journal of Applied Mathematics, 2021
This article presents triple Laplace transform coupled with iterative method to obtain the exact solution of two-dimensional nonlinear sine-Gordon equation (NLSGE) subject to the appropriate initial and boundary conditions.
Alemayehu Tamirie Deresse, Yesuf Obsie Mussa, Ademe Kebede Gizaw   +2 more
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New solutions of multidimensional fuzzy fractional coupled Burgers systems via He Laplace Carson algorithm [PDF]

Scientific Reports
The coupled Burgers model, a system of nonlinear partial differential equations, is widely used to describe complex interactions in various fields, including fluid dynamics, traffic flow, and biological systems.
Mubashir Qayyum, Sidra Nayab, Omar Khan, Jihad Younis, Abdou Al Zubaidi, Mazhar Hussain, Syed Tauseef Saeed   +6 more
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Certain theorems on two dimensional Laplace transform and non-homogeneous parabolic partial differential equations [PDF]

Surveys in Mathematics and its Applications, 2011
In this work,we present new theorems on two-dimensional Laplace transformation. We also develop some applications based on these results. The two-dimensional Laplace transformation is useful in the solution of non-homogeneous partial differential ...
A. Aghili , B. Parsa Moghaddam
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Numerical solution of two-dimensional fractional differential equations using Laplace transform with residual power series method

Nonlinear Engineering
One of the efficient and reliable methods for resolving fractional order linear as well as non-linear differential equations is the Laplace transform with residual power series method. This approach is used in the current research to obtain the numerical
Pant Rajendra, Arora Geeta, Singh Brajesh Kumar, Emadifar Homan   +3 more
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A Numerical Strategy for the Approximate Solution of the Nonlinear Time-Fractional Foam Drainage Equation

Fractal and Fractional, 2022
This study develops a numerical strategy for finding the approximate solution of the nonlinear foam drainage (NFD) equation with a time-fractional derivative.
Fenglian Liu, Jinxing Liu, Muhammad Nadeem   +2 more
doaj   +1 more source

Application of Double Sumudu-Generalized Laplace Decomposition Method for Solving 2+1-Pseudoparabolic Equation

Axioms, 2023
The main purpose of this research paper is to discuss the solution of the singular two-dimensional pseudoparabolic equation by employing the double Sumudu-generalized Laplace transform decomposition method (DSGLTDM).
Hassan Eltayeb
doaj   +1 more source

Two dimensional Laplace transforms of generalized hypergeometric functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 1988
The object of this paper is to obtain new operational relations between the original and the image functions that involve generalized hypergeometric G‐functions.
R. S. Dahiya, I. H. Jowhar
openaire   +2 more sources

Revisiting the 1D and 2D Laplace Transforms

Mathematics, 2020
The paper reviews the unilateral and bilateral, one- and two-dimensional Laplace transforms. The unilateral and bilateral Laplace transforms are compared in the one-dimensional case, leading to the formulation of the initial-condition theorem.
Manuel Duarte Ortigueira, José Tenreiro Machado   +1 more
doaj   +1 more source