Closed form root of a linear Klein–Gordon equation

Edeki, S.O.; Anake, T. A.; Ejoh, S. A.

doi:10.1088/1742-6596/1299/1/012138

Cited by 3 publications

(1 citation statement)

References 14 publications

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“…Several researchers have developed iterative methods or modified existing methods for efficiency and reliability. These include the New Iterative Method (NIM), Picard Iterative Method (PIM), Variational Iterative Method (VIM), ADM, Homotopy Perturbation Method (HPM), Boundary Value Methods (BVMs), and so on [5][6][7][8][9][10]. The majority of natural occurrences are linear and non-linear.…”

Section: Introductionmentioning

confidence: 99%

Laplace decomposition method for series solutions of systems of linear partial differential models

Engworo

Ogunniyi

Edeki

2022

J. Phys.: Conf. Ser.

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Most of the real-life problems experienced in the industry these days cannot be expressed as a single differential equation but as a system of differential equations. Such structures of linear partial differential models are considered in this work with the aid of the Laplace Adomian decomposition method (LADM) in terms of solutions. Various examples are taken into consideration. The results are easily obtained, are in good agreement when compared to their exact forms. In addition, the proposed method seems effective and efficient; the solutions are graphically presented.

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Section: Introductionmentioning

confidence: 99%

Laplace decomposition method for series solutions of systems of linear partial differential models

Engworo

Ogunniyi

Edeki

2022

J. Phys.: Conf. Ser.

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A new iterative computational scheme for solving second order (1 + 1) boundary value problems with non-homogeneous Dirichlet conditions

Nayar,

Phiri

2024

Research in Mathematics

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Fractional coupled decomposition approach for the solution of a linear Klein–Gordon equation

Edeki

Ogundile

Achudume

et al. 2021

J. Phys.: Conf. Ser.

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In this article, the solution of the time-fractional linear Klein-Gordon Equation (TFLKGE) is considered. This is in combination with Laplace Decomposition Method (LDM) and Fractional Complex Transform (FCT), herein referred to as FCLDM. In contrast with the standard LDM, this proposed approach demonstrates a feasible improvement and efficiency in use. Considerations are made Illustratively using some examples, and a closed solution of the problem is obtained with ease. The FCLDM is recommended for physical modeling of real-life problems both in pure and applied sciences and for strongly non-linear differential models.

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Closed form root of a linear Klein–Gordon equation

Cited by 3 publications

References 14 publications

Laplace decomposition method for series solutions of systems of linear partial differential models

Laplace decomposition method for series solutions of systems of linear partial differential models

A new iterative computational scheme for solving second order (1 + 1) boundary value problems with non-homogeneous Dirichlet conditions

Fractional coupled decomposition approach for the solution of a linear Klein–Gordon equation

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