A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations

Liu, Tao

doi:10.1016/j.camwa.2016.02.036

Cited by 36 publications

(21 citation statements)

References 21 publications

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“…Various wood products and fuels have different discount rates [4] when they are circulated as commodities. Therefore, the economic benefits of various wood products and wood fuels can be expressed as Equation 9: (9) where, Pmt represents the price of product m at time t, Pft represents the price of wood fuel at time t, Dmt is the discount rate of product m at time t, Dft is the discount rate of wood fuel at time t, NTVm means the economic benefits value of product m, NFV means the economic benefit value of wood fuel.…”

Section: Evaluation For the Forest Valuementioning

confidence: 99%

Research on Logging Strategy in Northeast China Forest Area Based on Evaluation Result-Oriented Decision Model

Chen

Jin

et al. 2022

Advances in Transdisciplinary Engineering

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Forest farms in Northeast China play an important role in achieving carbon peaking and carbon neutrality in the region. Balancing the various values of forests is important to achieve sustainable development in the region. In this paper, a CO2FIX model for calculating forest carbon sequestration is first established. Then an evaluation result-oriented decision model (ERDM) is established. Evaluate the carbon sequestration value, economic value and ecological value of forests, and propose oriented policies for the values with lower scores. Then a multi-objective planning process is established with the goal of maximizing the sum of various forest values, and the oriented policy directly affects the constraints. The results of multi-objective planning provide quantitative indicators for forest management plans. After testing, the above decision-making scheme has achieved the benign development of forest farms in Northeast China in the process of simulated management.

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Section: Evaluation For the Forest Valuementioning

confidence: 99%

Research on Logging Strategy in Northeast China Forest Area Based on Evaluation Result-Oriented Decision Model

Chen

Jin

et al. 2022

Advances in Transdisciplinary Engineering

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“…Prior to our work, there have been some discussions on the topic of specific resource mining [1,2]. In the process of improving the international legal order for the distribution of rights and interests in the development of outer space resources in the future, the international community may consider: Under the guidance of the concept of "a community with a shared future for mankind [3][4][5][6]", by establishing the right to preferential use of outer space resources, all countries will be relieved Disputes over the initial allocation of outer space resources; on the other hand, the parallel development system can be introduced and promote the sharing of non-monetary benefits.…”

Section: Introductionmentioning

confidence: 99%

Asteroid Mining Model Based on Global Equity

Shao

Jiang

Wang

et al. 2022

Advances in Transdisciplinary Engineering

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By defining global equity and other mathematical methods, this paper constructs an equity distribution system for the asteroid mining industry which uses AHP and weight-based Topsis to construct a global equity evaluation model. This model obtains the equity coefficients of 117 countries, which can provide a thorough guiding reference in the distribution of benefits to some degree. Then, the concept of the relative deprivation coefficient is added to the model to adjust the equity of distribution. The model assigns different priorities to countries in the asteroid mining industry, speeding up mining efficiency while improving equity. What’s more, we also combine the models to construct a standard world framework to show the change of global equity coefficient in a century in the phenomenon of ideal asteroid mining. Based on the model we formulate, we conduct an experiment and visualization to show the worldwide change of equity coefficients.

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“…At the same time, many homotopybased methods have also been proposed. Liu studied a parameter identification problem of two-phase porous media fractional flow equations [22] and then solved a nonlinear convection-diffusion equation [23] by a wavelet multiscale-homotopy method. In addition, based on the homotopy method, a multigrid-homotopy method was used to solve a nonlinear inverse problem governed by a convection-diffusion equation [24], and the numerical identification of diffusion parameters in a nonlinear convectiondiffusion equation was investigated by an adaptive homotopy perturbation method [25].…”

Section: Introductionmentioning

confidence: 99%

Coiflet Wavelet-Homotopy Solution of Channel Flow due to Orthogonally Moving Porous Walls Governed by the Navier–Stokes Equations

Chen

2020

Journal of Mathematics

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A newly computational method based on the Coiflet wavelet and homotopy analysis method is developed, which inherits the great nonlinear treatment of the homotopy analysis technique and the local high-precision capability of the wavelet approach, to give solutions to the classic problem of channel flow with moving walls. The basic principle of this suggested technique and the specific solving process are presented in detail. Its validity and efficiency are then checked via rigid comparisons with other computational approaches. It is found that the homotopy-based convergence-control parameter and the wavelet-based resolution level of Coiflet are two effective ways to improve on accuracies of solutions.

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A wavelet multiscale-homotopy method for the parameter identification problem of partial differential equations

Cited by 36 publications

References 21 publications

Research on Logging Strategy in Northeast China Forest Area Based on Evaluation Result-Oriented Decision Model

Research on Logging Strategy in Northeast China Forest Area Based on Evaluation Result-Oriented Decision Model

Asteroid Mining Model Based on Global Equity

Coiflet Wavelet-Homotopy Solution of Channel Flow due to Orthogonally Moving Porous Walls Governed by the Navier–Stokes Equations

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