Results 1 to 10 of about 8,233 (293)
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 +3 more sources
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 +4 more sources
Two Dimensional Laplace Transform Coupled with the Marichev-Saigo-Maeda Integral Operator and the Generalized Incomplete Hypergeometric Function [PDF]
Symmetry, 2021 This paper represents the processing of the two-dimensional Laplace transform with the two-dimensional Marichev–Saigo–Maeda integral operators and two-dimensional incomplete hypergeometric function. This article provides an entirely new perspective on the Marichev–Saigo–Maeda operators and incomplete functions.
Yasir Khan, Adnan Khan, Ali AKGÜL
exaly +4 more sources
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
doaj +3 more sources
Laplace Transform Homotopy Perturbation Method for the Two Dimensional Black Scholes Model with European Call Option [PDF]
Mathematical and Computational Applications, 2017 The Black Scholes model is a well-known and useful mathematical model in financial markets. In this paper, the two-dimensional Black Scholes equation with European call option is studied. The explicit solution of this problem is carried out in the form of a Mellin–Ross function by using Laplace transform homotopy perturbation method.
Kamonchat Trachoo +2 more
exaly +3 more sources
Nonlinear Engineering, 2021 In this work, a new iterative algorithm is presented to solve autonomous n-dimensional fractional nonlinear systems analytically. The suggested scheme is combination of two methods; the Laplace transform and the residual power series.
Alquran Marwan +3 more
doaj +2 more sources
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 +2 more
doaj +3 more sources
New solutions of multidimensional fuzzy fractional coupled Burgers systems via He Laplace Carson algorithm [PDF]
Scientific ReportsThe 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 +6 more
doaj +2 more sources
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 +2 more
doaj +1 more source
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