An investigation with Hermite Wavelets for accurate solution of Fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential

Gupta, A. K.; Ray, S. Saha

doi:10.1016/j.amc.2015.08.058

Cited by 30 publications

(26 citation statements)

References 13 publications

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“…The Hermite wavelet has a restriction-free input range, which makes it more appropriate for solving highly nonlinear problems with a wide search space [ 41 ], [ 42 ]. Moreover, the series expansion of sufficient Hermite polynomials is used to represent any signal with a high degree of accuracy.…”

Section: Proposed Adaptive Control Paradigmmentioning

confidence: 99%

Adaptive control paradigm for photovoltaic and solid oxide fuel cell in a grid-integrated hybrid renewable energy system

Mumtaz

Khan

2017

PLoS ONE

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The hybrid power system (HPS) is an emerging power generation scheme due to the plentiful availability of renewable energy sources. Renewable energy sources are characterized as highly intermittent in nature due to meteorological conditions, while the domestic load also behaves in a quite uncertain manner. In this scenario, to maintain the balance between generation and load, the development of an intelligent and adaptive control algorithm has preoccupied power engineers and researchers. This paper proposes a Hermite wavelet embedded NeuroFuzzy indirect adaptive MPPT (maximum power point tracking) control of photovoltaic (PV) systems to extract maximum power and a Hermite wavelet incorporated NeuroFuzzy indirect adaptive control of Solid Oxide Fuel Cells (SOFC) to obtain a swift response in a grid-connected hybrid power system. A comprehensive simulation testbed for a grid-connected hybrid power system (wind turbine, PV cells, SOFC, electrolyzer, battery storage system, supercapacitor (SC), micro-turbine (MT) and domestic load) is developed in Matlab/Simulink. The robustness and superiority of the proposed indirect adaptive control paradigm are evaluated through simulation results in a grid-connected hybrid power system testbed by comparison with a conventional PI (proportional and integral) control system. The simulation results verify the effectiveness of the proposed control paradigm.

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Section: Proposed Adaptive Control Paradigmmentioning

confidence: 99%

Adaptive control paradigm for photovoltaic and solid oxide fuel cell in a grid-integrated hybrid renewable energy system

Mumtaz

Khan

2017

PLoS ONE

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“…Hermite collocation method has been established for solving fractional differential equations in [9]. In [10], Hermite wavelet method has been developed for accurate solving fractional Jaulent-Miodek equation associated with energy dependent Schrodinger potential. Numerical solution of two-dimensional hyperbolic telegraph equation has been established with the aid of Hermite wavelets in [11].…”

Section: Introductionmentioning

confidence: 99%

Numerical Differentiation via Hermite Wavelets

Singh¹,

Kaur²

2020

Int. J. of Appl. Math.

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“…which comes with energy-dependent Schrödinger potential [54][55][56]. Recently, the Sumudu transform homotopy-perturbation method (STHPM) [54], the Hermite wavelets method (HWM) and the optimal homotopy asymptotic method (OHAM) [57], the invariant subspace method [58], the q-homotopy analysis transform method (q-HATM) [59], and others [60][61][62] have been used to obtain approximate solutions of the nonlinear time-fractional Jaulent-Miodek system of equations.…”

Section: Introductionmentioning

confidence: 99%

Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

et al. 2019

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In this paper, we present analytical-approximate solution to the time-fractional nonlinear coupled Jaulent-Miodek system of equations which comes with an energy-dependent Schrödinger potential by means of a residual power series method (RSPM) and a q-homotopy analysis method (q-HAM). These methods produce convergent series solutions with easily computable components. Using a specific example, a comparison analysis is done between these methods and the exact solution. The numerical results show that present methods are competitive, powerful, reliable, and easy to implement for strongly nonlinear fractional differential equations.

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An investigation with Hermite Wavelets for accurate solution of Fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential

Cited by 30 publications

References 13 publications

Adaptive control paradigm for photovoltaic and solid oxide fuel cell in a grid-integrated hybrid renewable energy system

Adaptive control paradigm for photovoltaic and solid oxide fuel cell in a grid-integrated hybrid renewable energy system

Numerical Differentiation via Hermite Wavelets

Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

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