Numerical analysis of state space systems using single term Haar wavelet series

Prabakaran, K.; Vengataasalam, S.; Balaji, G.

doi:10.12988/ams.2014.44236

Cited by 3 publications

(2 citation statements)

References 15 publications

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“…Based on Haar wavelet method, Prabakaran et al (2014) used Haar wavelet series method to get discrete solutions for a state space system of differential equations. The author Arbabi et al (2017) proposed an efficient algorithm to solve systems of three-dimensional nonlinear partial differential equations.…”

Section: Literature Reviewmentioning

confidence: 99%

Haar Wavelet for Numeric Solution of Rlc Circuit Differential Equations

Abdulghani

Khorsheed

Mustafa

et al. 2022

UOD

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The wavelet transformation is a mathematical method developed over the past decades to be adapted for applications in the fields of science and engineering. The wavelet transform can be applied in the field of numerical analysis to solve the differential equation. This paper is concerned with applying Haar wavelet methods to solve an ordinary differential equation for an RLC series circuit with a known initial state. The matrix construction calculations are proposed in a simple way. Three numerical mathematical examples are shown that include second-order differential equations with variable and constant coefficients. The results showed that the proposed method is quite reasonable while comparing the solution of second order systems by Haar wavelet method with the exact solution in the context of serial RLC circuit. Moreover, the use of Haar waves is found to be simple, accurate, with flexible and appropriate arithmetic computational costs.

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Section: Literature Reviewmentioning

confidence: 99%

Haar Wavelet for Numeric Solution of Rlc Circuit Differential Equations

Abdulghani

Khorsheed

Mustafa

et al. 2022

UOD

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“…Based on Haar wavelet method, Prabakaran et. al 11 used Haar wavelet series method to get discrete solutions for a state space system of differential equations. Abuhamdia and Taheri 12 presented survey a wideranging of research on utilizing wavelets in the analysis and design of dynamic systems, and the main focus of this survey is electromechanical and mechanical systems furthermore to their controls.…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution for Linear State Space Systems using Haar Wavelets Method

Ali

Ali²

2022

Baghdad Sci.J

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In this research, Haar wavelets method has been utilized to approximate a numerical solution for Linear state space systems. The solution technique is used Haar wavelet functions and Haar wavelet operational matrix with the operation vec to transform the state space system into a system of linear algebraic equations which can be resolved by MATLAB over an interval from 0 to  . The exactness of the state variables can be enhanced by increasing the Haar wavelet resolution. The method has been applied for different examples and the simulation results have been illustrated in graphics and compared with the exact solution.

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Protuberancy State Recognition in Human Visual System

Bharath

Jeba²,

Priyadharshini

et al. 2020

IICT

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The human visual system (HVS) seeks toward select relevant region in the direction of level rear method attempts. visual concentration effort to guess the essential region of films or imagery observed through an individual eye. Such representations, are functioned to areas similar to workstation work, MPEG conventions, and an eminence evaluation. while numerous models are expected, only some of them be pertinent enroute for high dynamic range (HDR) picture substance, in addition to no effort has been completed for HDR visualization. Furthermore, the disadvantage inside the obtainable form is with the intention, they couldn't reproduce the uniqueness of HVS beneath the extensive shining array established in HDR substance. This paper gets the better of these troubles by the process approach to represent the bottom-up visual saliency for HDR input through merge spatial and temporal image features. An examine of a human eye ball movement information make sure the efficiency of the proposed model. Evaluation using 3 well-known quantitative metrics show that the proposed model significantly gets better predictions of visual concentration for HDR substance.

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Numerical analysis of state space systems using single term Haar wavelet series

Cited by 3 publications

References 15 publications

Haar Wavelet for Numeric Solution of Rlc Circuit Differential Equations

Haar Wavelet for Numeric Solution of Rlc Circuit Differential Equations

Numerical Solution for Linear State Space Systems using Haar Wavelets Method

Protuberancy State Recognition in Human Visual System

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