A novel approach for multi dimensional fractional coupled Navier–Stokes equation

Kumbinarasaiah, S.

doi:10.1007/s40324-022-00289-y

Cited by 9 publications

(1 citation statement)

References 16 publications

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“…A fractional integral operator for Hermite wavelets is utilized and a comparative study of the numerical results with those obtained from other methods validates the authenticity of the proposed method. Kumbinarasaiah [2] solved multidimensional fractional coupled Navier-Stokes equation (NSE) with the help of efficient Hermite wavelets based method along with collocation points. The numerical solutions thus obtained for integer as well as for fractional order NSE are depicted through tables and graphs to validate the efficiency of the proposed technique Hermite wavelet collocation method has been applied to find the numerical solution of nonlinear ordinary differential equation (ODE) representing the variation of temperature in a permeable moving fin of the rectangular domain in Raghunatha & Kumbinarasaiah [3].…”

Section: Introductionmentioning

confidence: 99%

Comprehensive review of numerical schemes based on Hermite wavelets

Kaur¹,

Singh²

2022

World J. Adv. Res. Rev.

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Differential and integral equations are encountered in many applications of science and engineering and many mathematical models have also been formulated in terms of these equations. Due to some shortcomings of the already existing numerical methods, researchers are making efforts to find more efficient alternatives for obtaining solutions of many practical and physical problems giving rise to differential or integral equations. As a result, wavelet methods have found their way for the numerical solution of the resulting different kinds of equations. So this review paper intends to provide the great utility, accuracy and employability of Hermite wavelets to address situations of various areas of applied mathematics, physics, biology, optimal control systems, communication theory, queuing theory, medicine and many other scientific and engineering problems.

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Section: Introductionmentioning

confidence: 99%