Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (2)

Search Parameters:
Keywords = single Sumudu transform

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
19 pages, 4892 KB  
Article
Conformable Double Laplace–Sumudu Iterative Method
by Shams A. Ahmed, Ahmad Qazza, Rania Saadeh and Tarig M. Elzaki
Symmetry 2023, 15(1), 78; https://doi.org/10.3390/sym15010078 - 28 Dec 2022
Cited by 19 | Viewed by 2092
Abstract
This research introduces a novel approach that combines the conformable double Laplace–Sumudu transform (CDLST) and the iterative method to handle nonlinear partial problems considering some given conditions, and we call this new approach the conformable Laplace–Sumudu iterative (CDLSI) method. Furthermore, we state and [...] Read more.
This research introduces a novel approach that combines the conformable double Laplace–Sumudu transform (CDLST) and the iterative method to handle nonlinear partial problems considering some given conditions, and we call this new approach the conformable Laplace–Sumudu iterative (CDLSI) method. Furthermore, we state and discuss the main properties and the basic results related to the proposed technique. The new method provides approximate series solutions that converge to a closed form of the exact solution. The advantage of using this method is that it produces analytical series solutions for the target equations without requiring discretization, transformation, or restricted assumptions. Moreover, we present some numerical applications to defend our results. The results demonstrate the strength and efficiency of the presented method in solving various problems in the fields of physics and engineering in symmetry with other methods. Full article
Show Figures

Figure 1

16 pages, 2635 KB  
Article
Exact Solutions of Nonlinear Partial Differential Equations via the New Double Integral Transform Combined with Iterative Method
by Shams A. Ahmed, Ahmad Qazza and Rania Saadeh
Axioms 2022, 11(6), 247; https://doi.org/10.3390/axioms11060247 - 25 May 2022
Cited by 45 | Viewed by 5271
Abstract
This article demonstrates how the new Double Laplace–Sumudu transform (DLST) is successfully implemented in combination with the iterative method to obtain the exact solutions of nonlinear partial differential equations (NLPDEs) by considering specified conditions. The solutions of nonlinear terms of these equations were [...] Read more.
This article demonstrates how the new Double Laplace–Sumudu transform (DLST) is successfully implemented in combination with the iterative method to obtain the exact solutions of nonlinear partial differential equations (NLPDEs) by considering specified conditions. The solutions of nonlinear terms of these equations were determined by using the successive iterative procedure. The proposed technique has the advantage of generating exact solutions, and it is easy to apply analytically on the given problems. In addition, the theorems handling the mode properties of the DLST have been proved. To prove the usability and effectiveness of this method, examples have been given. The results show that the presented method holds promise for solving other types of NLPDEs. Full article
(This article belongs to the Special Issue Calculus of Variations and Nonlinear Partial Differential Equations)
Show Figures

Figure 1

Back to TopTop