Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations

Shiralashetti, S. C.; Mundewadi, R. A.

doi:10.21042/amns.2016.2.00042

Cited by 18 publications

(7 citation statements)

References 26 publications

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“…For the governing equations of the fractional viscoelastic Euler-Bernouli beam, the majority of existing literatures evaluate the solvability, but they all fail to give the specific numerical solutions. On this basis, a method of Quasi-Legendre polynomial will be used to solve the governing equations [23,24]. Because the displacement of the beam subjected to external loads is not only related to the position of the beam, but also is related to time, the influence of time on the displacements is considered for the first time in this paper.…”

Section: Introductionmentioning

confidence: 99%

A numerical method for solving fractional-order viscoelastic Euler–Bernoulli beams

Zhang

Chen

et al. 2019

Chaos, Solitons & Fractals

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In this paper, a new method is presented for solving the constitutive equations of fractional-order viscoelastic Euler-Bernoulli beams. Firstly, the constitutive equation of the Euler-Bernoulli beam is established by analyzing the constitutive relation between the fractional viscoelastic materials. Secondly, the constitutive equation of the beam is transformed into a matrix equation by using a Quasi-Legendre polynomial in the time domain. Then the matrix equation is discretized and solved, and the numerical solution is obtained for the constitutive equation of the beam. Finally, numerical analysis of two different fractional viscoelastic materials is carried out by numerical experiments. Displacements under different external loads are obtained for the polybutadiene beam and butyl B252 beam. With the change of time and position, the change law of displacements is found. And the performance of the two materials is compared and analyzed.

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Section: Introductionmentioning

confidence: 99%

A numerical method for solving fractional-order viscoelastic Euler–Bernoulli beams

Zhang

Chen

et al. 2019

Chaos, Solitons & Fractals

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“…Specifically, when the data deletion rate is between 1% and 10%, d 2 can be stably maintained above 0.8, and the RMSE value is stable between 0.15 and 0.2. In addition, for any one of the missing rates, the filling accuracy of the single missing mode is significantly higher than the filling accuracy of the multiple missing mode [25]. This is because the multi-fill mode has a large amount of missing data, and its interference with feature extraction and restoration is higher than that of the single-missing mode.…”

Section: Experimental Process and Analysismentioning

confidence: 98%

Discretization Algorithm for Incomplete Economic Information in Rough Set Based on Big Data

Li¹,

Shen²

2020

Symmetry

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Discretization based on rough sets is used to divide the space formed by continuous attribute values with as few breakpoint sets as possible, while maintaining the original indistinguishable relationship of the decision system, so as to accurately classify and identify related information. In this study, a discretization algorithm for incomplete economic information in rough set based on big data is proposed. First, the algorithm for filling-in incomplete economic information based on deep learning is used to supplement the incomplete economic information. Then, based on breakpoint discrimination, the algorithm for discretization in the rough set is used to implement the discretization based on rough set for supplementary economic information. The performance of this algorithm was tested using multiple sets of data and compared with other algorithms. Experimental results show that this algorithm is effective for discretization based on a rough set of incomplete economic information. When the number of incomplete economic information rough candidate breakpoints increases, it still has a higher computational efficiency and can effectively improve the integrity of incomplete economic information, and finally the application performance is superior.

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“…where ωq represents the potential value of greenhouse gas emission of qgases, Tqrepresents the time of greenhouse gas emission of qgases, and Vq represents the greenhouse gas emission rate of q gases. Carbon emissions from storage links are related to energy storage, greenhouse gas emission rate and emission time [14][15][16][17][18][19][20][21]. In summary, the greenhouse gas emission model C to of renewable green building's energy supply chain is:…”

Section: ) Building the Low Carbon Target Oriented Modelmentioning

confidence: 99%

Construction of renewable energy supply chain model based on LCA

2018

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The current building’s energy supply chain model has the characteristics of high complexity, time-consuming, poor accuracy, and high pollution coefficient. In this paper, a renewable building’s energy supply chain model based on LCA is proposed. Based on the definition of planned supply chain, procurement, construction and delivery process, the operation reference model of renewable green building’s energy supply chain is analyzed. According to the analysis of LCA, the life cycle stage set of renewable green building’s energy supply chain is obtained. A renewable green building’s energy supply chain model with economic and low-carbon comprehensive objectives is obtained by combining the economic goal-oriented model with the low-carbon goal-oriented model and introducing the life cycle stage set. The experimental results show that the modeling complexity of the model is low and the time-consuming is less. The model fits the actual situation well. The pollution coefficient of the model is smaller than that of the current model. It is practical and provides technical reference for the field of green building.

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Modified Wavelet Full-Approximation Scheme for the Numerical Solution of Nonlinear Volterra integral and integro-differential Equations

Cited by 18 publications

References 26 publications

A numerical method for solving fractional-order viscoelastic Euler–Bernoulli beams

A numerical method for solving fractional-order viscoelastic Euler–Bernoulli beams

Discretization Algorithm for Incomplete Economic Information in Rough Set Based on Big Data

Construction of renewable energy supply chain model based on LCA

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