Exact solutions of nonlinear partial differential equations via the new double integral transform combined with iterative method

SA Ahmed, A Qazza, R Saadeh - Axioms, 2022 - mdpi.com
This article demonstrates how the new Double Laplace–Sumudu transform (DLST) is
successfully implemented in combination with the iterative method to obtain the exact …

[HTML][HTML] Adapting partial differential equations via the modified double ARA-Sumudu decomposition method

R Saadeh, SA Ahmed, A Qazza, TM Elzaki - Partial Differential Equations in …, 2023 - Elsevier
In order to get analytical series solutions of partial differential equations while taking certain
conditions into consideration, this paper presents the new procedure of using the new …

Conformable double laplace–sumudu iterative method

SA Ahmed, A Qazza, R Saadeh, TM Elzaki - Symmetry, 2022 - mdpi.com
This research introduces a novel approach that combines the conformable double Laplace–
Sumudu transform (CDLST) and the iterative method to handle nonlinear partial problems …

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

AT Deresse - Advances in Mathematical Physics, 2022 - Wiley Online Library
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 …

Double Sumudu Transform Iterative Method for One‐Dimensional Nonlinear Coupled Sine‐Gordon Equation

AT Deresse - Advances in Mathematical Physics, 2022 - Wiley Online Library
In this paper, the combined double Sumudu transform with iterative method is successfully
implemented to obtain the approximate analytical solution of the one‐dimensional coupled …

Solutions of Three Dimensional Nonlinear Klein‐Gordon Equations by Using Quadruple Laplace Transform

W Ibrahim, M Tamiru - International Journal of Differential …, 2022 - Wiley Online Library
This study focuses on solving three‐dimensional non‐linear Klein‐Gordon equations of four
variables by using the quadruple Laplace transform method coupled with the iterative …

Qualitative Analysis of a Novel Numerical Method for Solving Non-linear Ordinary Differential Equations

S Kaushik, R Kumar - International Journal of Applied and Computational …, 2024 - Springer
The dynamics of innumerable real-world phenomena is represented with the help of non-
linear ordinary differential equations (NODEs). There is a growing trend of solving these …

New modified adomin decomp osition metho d for boundary value problems of higher-order ordinary differential equation

ZAA Al-Rabahi, YQ Hasan - Asian …, 2020 - geographical.openuniversityarchive …
This study will present a new modified differential operator for solving third-order boundary
value problems into higher-order ordinary differential equation. We found the differential …

Application of Iterative Three-Dimensional Laplace Transform Method for 2-Dimensional Nonlinear Klein-Gordon Equation

AT Deresse - Trends in Sciences, 2023 - tis.wu.ac.th
In the present study, the exact analytical solutions of the 2-dimensional nonlinear Klein-
Gordon equation (NLKGE) is investigated using the 3-dimensional Laplace transform …

EXACT SOLUTIONS OF NONLINEAR COMPLEX PARTIAL DIFFERENTIAL EQUATIONS VIA TWO-DIMENSIONAL DIFFERENTIAL TRANSFORM METHOD

AK Haydar, RA Zaboon… - Mathematics for …, 2023 - mathsapplication.com
This article introduces some results about two-dimensional differential transform for
nonlinear complex functions and their derivatives which are needed in this paper to find …