Computational and Mathematical Methods in Science and Engineering

Vigo‐Aguiar, Jesús; Alonso, Pedro; Ramos, Higinio

doi:10.1016/j.cam.2021.113467

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2022

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“…Singh [29] tackled the popular issue of development by fostering its numerical model as far as first order linear DE using ST. Gupta [3] introduced connection among Sawi and other essential transforms. The applications of differential equations in various fields, for example, the environment, financial matters, science and engineering can be displayed as [25][26][27][28][29][30][31][32]. Recently Viglialoro [10,15,30] investigated the properties of solutions to porous medium problems with different sources and boundary conditions, boundedness in a chemotaxis system with consumed chemoattractant and bounded solutions to a parabolic-elliptic chemotaxis system with nonlinear diffusion and signal-dependent sensitivity.…”

Section: Introductionmentioning

confidence: 99%

Sawi transform and Hyers-Ulam stability of n t h order linear differential equations

Jayapriya¹,

Ganesh²,

Santra³

et al. 2022

J. Math. Computer Sci.

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The use of the Sawi transform has increased in the light of recent events in different approaches. The Sawi transform is also seen as the easiest and most effective way among the other transforms. In line with this, the research deals with the Hyers-Ulam stability of n th order differential equations using the Sawi transform. The study aims at deriving a generalised Hyers-Ulam stability result for linear homogeneous and non-homogeneous differential equations.

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