Reduced Differential Transform Method for the Treatment of Internal Atmospheric Waves Phenomenon

Tamboli, Vahisht K.; Tandel, Priti

doi:10.1007/s40819-022-01377-3

Cited by 4 publications

(2 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Jani and Singh [ 14 ] implemented Aboodh transform homotopy perturbation method to solve on fractional order model of atmospheric internal waves. Tamboli and Tandel [ 15 ] applied reduced differential transform method for the treatment of internal atmospheric waves phenomenon. Sahoo and Chakraverty [ 16 ] used Sawi transformn based homotopy perturbation method to solve shallow-water equation in fuzzy environment.…”

Section: Introductionmentioning

confidence: 99%

A study of time-fractional model for atmospheric internal waves with Caputo-Fabrizio derivative

Vivas-Cortez,

Sadaf,

Perveen

et al. 2024

PLoS ONE

View full text Add to dashboard Cite

The internal atmospheric waves are gravity waves and occur in the inner part of the fluid system. In this study, a time-fractional model for internal atmospheric waves is investigated with the Caputo-Fabrizio time-fractional differential operator. The analytical solution of the considered model is retrieved by the Elzaki Adomian decomposition method. The variation in the solution is examined for increasing order of the fractional parameter α through numerical and graphical simulations. The accuracy of the obtained results is established by comparing the obtained solution of considered fractional model with the results available in the literature.

show abstract

Section: Introductionmentioning

confidence: 99%

A study of time-fractional model for atmospheric internal waves with Caputo-Fabrizio derivative

Vivas-Cortez,

Sadaf,

Perveen

et al. 2024

PLoS ONE

View full text Add to dashboard Cite

show abstract

“…The reduced DTM (RDTM), which makes the calculations easier when applying the TDDTM to PDEs, is described in [24]. Some implementations of the DTM and RDTM can be seen in [10] for the circuit theory and communication system fields, [31] for the chemical problems, and [37] for the internal atmospheric waves. Also, one can refer to the source [7] for more detailed information, where studies done up to 2012 are compiled.…”

Section: Introductionmentioning

confidence: 99%

On q,ω -differential transform method

Hıra¹

2023

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

In this study, the differential transform method (DTM) associated with the Hahn difference operator ( D q , ω ) has been examined. The definitions and theorems of the one and two-dimensional q , ω -DTM are introduced. Then, the presented q , ω -DTMs are applied to obtain the analytical or approximation solution of linear or non-linear q , ω -initial value problems consisting of the q , ω -ordinary or q , ω -partial differential equation.

show abstract

Reduced differential transform method in solving Nonlinear Schrodinger Equations

Sabdin,

Hussin,

Sulaiman

et al. 2024

AIP Conference Proceedings

View full text Add to dashboard Cite

Reduced Differential Transform Method for the Treatment of Internal Atmospheric Waves Phenomenon

Cited by 4 publications

References 31 publications

A study of time-fractional model for atmospheric internal waves with Caputo-Fabrizio derivative

A study of time-fractional model for atmospheric internal waves with Caputo-Fabrizio derivative

On q,ω -differential transform method

Reduced differential transform method in solving Nonlinear Schrodinger Equations

Contact Info

Product

Resources

About