Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation

Topology optimization and quantum computing have evolved rapidly over the past three decades. Previous topological optimum design methods suffered from financial burden and mathematical complexity. To overcome these shortcomings, a modified quantum-inspired evolutionary algorithm-based topology opti...

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Главные авторы:	Alikhanov, A. A., Алиханов, А. А.
Формат:	Статья
Язык:	English
Опубликовано:	2023
Темы:	Topology optimization Quantum rotation gate Genetic algorithm Quantum computing Quantum-inspired algorithm
Online-ссылка:	https://dspace.ncfu.ru/handle/20.500.12258/22294
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id	ir-20.500.12258-22294
record_format	dspace
spelling	ir-20.500.12258-222942025-02-12T07:37:33Z Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation Alikhanov, A. A. Алиханов, А. А. Topology optimization Quantum rotation gate Genetic algorithm Quantum computing Quantum-inspired algorithm Topology optimization and quantum computing have evolved rapidly over the past three decades. Previous topological optimum design methods suffered from financial burden and mathematical complexity. To overcome these shortcomings, a modified quantum-inspired evolutionary algorithm-based topology optimization method is proposed. This nested approach combines the classic solid isotropic microstructure with the penalization method and the double chains quantum genetic algorithm to establish an integral topology optimization framework. The former is utilized to determine the search direction of design variable updating. Meanwhile, the latter ensures abundant search diversity. The validity and feasibility of the developed methodology are eventually demonstrated by several application examples. The results indicate that the proposed optimization framework is independent of initial values and can lead to optimized structures. In addition, it will be more appropriate and effective if this strategy is deployed on a quantum computer in the future. 2023-02-02T14:51:09Z 2023-02-02T14:51:09Z 2023 Статья Yadav, P., Singh, B.P., Alikhanov, A.A., Singh, V.K. Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation // International Journal of Computational Methods. - 2023. - 20 (2). - статья № 2250046. - DOI: 10.1142/S0219876222500463 http://hdl.handle.net/20.500.12258/22294 en International Journal of Computational Methods application/pdf application/pdf
institution	СКФУ
collection	Репозиторий
language	English
topic	Topology optimization Quantum rotation gate Genetic algorithm Quantum computing Quantum-inspired algorithm
spellingShingle	Topology optimization Quantum rotation gate Genetic algorithm Quantum computing Quantum-inspired algorithm Alikhanov, A. A. Алиханов, А. А. Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation
description	Topology optimization and quantum computing have evolved rapidly over the past three decades. Previous topological optimum design methods suffered from financial burden and mathematical complexity. To overcome these shortcomings, a modified quantum-inspired evolutionary algorithm-based topology optimization method is proposed. This nested approach combines the classic solid isotropic microstructure with the penalization method and the double chains quantum genetic algorithm to establish an integral topology optimization framework. The former is utilized to determine the search direction of design variable updating. Meanwhile, the latter ensures abundant search diversity. The validity and feasibility of the developed methodology are eventually demonstrated by several application examples. The results indicate that the proposed optimization framework is independent of initial values and can lead to optimized structures. In addition, it will be more appropriate and effective if this strategy is deployed on a quantum computer in the future.
format	Статья
author	Alikhanov, A. A. Алиханов, А. А.
author_facet	Alikhanov, A. A. Алиханов, А. А.
author_sort	Alikhanov, A. A.
title	Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation
title_short	Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation
title_full	Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation
title_fullStr	Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation
title_full_unstemmed	Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation
title_sort	numerical scheme with convergence analysis and error estimate for variable order weakly singular integro-differential equation
publishDate	2023
url	https://dspace.ncfu.ru/handle/20.500.12258/22294
work_keys_str_mv	AT alikhanovaa numericalschemewithconvergenceanalysisanderrorestimateforvariableorderweaklysingularintegrodifferentialequation AT alihanovaa numericalschemewithconvergenceanalysisanderrorestimateforvariableorderweaklysingularintegrodifferentialequation
_version_	1842245568177373184

Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation

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