Towards a new triple integral transform (Laplace–ARA–Sumudu) with applications

Saadeh, Rania; K. Sedeeg, Abdelilah; A. Amleh, Mohammad; I. Mahamoud, Zahra

doi:10.1080/25765299.2023.2250569

Arab Journal of Basic and Applied Sciences

2023

DOI: 10.1080/25765299.2023.2250569

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Towards a new triple integral transform (Laplace–ARA–Sumudu) with applications

Rania Saadeh,

Abdelilah K. Sedeeg,

Mohammad A. Amleh

et al.

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2024

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Cited by 3 publications

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A new technique for solving regular and singular coupled Burgers’ equation

Sedeeg

2024

Arab Journal of Basic and Applied Sciences

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A new technique for solving regular and singular coupled Burgers’ equation

Sedeeg

2024

Arab Journal of Basic and Applied Sciences

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Solution of Multi-dimensional Navier-Stokes Equation Through Gamar Transform Combined with Adomian Decomposition Method

Sedeeg

2024

International Journal of Applied Mathematics, Computational Science and Systems Engineering

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In this work, an attempt is made to combine Gamar transform and Adomian decomposition method (GTADM) in order to solve multi-dimensional Navier-Stokes Equation. Selected examples are discussed so as to prove the feasibility of this method. The efficacy of the current method in relation to finding exact and approximate solutions is strongly verified by the results of the study. The technique of numerical simulation is utilized to reach the exact and approximate solutions.

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Solution of Three-Dimensional Mboctara Equation Via Gamar Transform

Sedeeg

2024

International Journal of Computational and Applied Mathematics &Amp; Computer Science

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The objective of present paper is to introduce and apply a novel general triple integral transform named Gamar Transform. First, we outline the basic properties and then establish same important results such as the existence and triple convolution theorems as well as the derivatives properties. Furthermore, the current transform is applied to solve a wide range of partial differential equations including homogeneous and nonhomogeneous Mboctara partial differential equations. Figures are utilized to clarify and exemplify the solutions.

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Towards a new triple integral transform (Laplace–ARA–Sumudu) with applications

Cited by 3 publications

References 43 publications

A new technique for solving regular and singular coupled Burgers’ equation

A new technique for solving regular and singular coupled Burgers’ equation

Solution of Multi-dimensional Navier-Stokes Equation Through Gamar Transform Combined with Adomian Decomposition Method

Solution of Three-Dimensional Mboctara Equation Via Gamar Transform

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