Development of a novel best approximation theory with applications

开发一种新颖的最佳逼近理论及其应用

• 批准号: DP230102079
• 负责人: Prof Yong Hong Wu
• 金额: $ 27.47万
• 依托单位: Curtin University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2023
• 资助国家: 澳大利亚
• 起止时间: 2023-07-01 至 2026-06-30
• 项目状态: 未结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP230102079
• 关键词: Development; novel; best; approximation; theory

The aim of this project is to develop an innovative best approximation theory for complex fractional boundary value problems with discontinuities and with no compactness, and then apply the theory to study two classes of complex partial differential equation boundary value problems with industrial applications. The work will lead to the development of a new theory and a suite of innovative analytical and computational methods for solving a wide range of nonlinear problems with singularities and non-local properties. The expected outcomes of the project will significantly advance our methods for the modelling and control of many industrial systems and processes.

本项目的目的是发展一个创新的最佳逼近理论，解决不连续和不紧的复杂分数阶边值问题，然后应用该理论研究两类具有工业应用的复杂偏微分方程边值问题。这项工作将导致一个新的理论和一套创新的分析和计算方法的发展，用于解决各种各样的非线性问题的奇异性和非局部属性。该项目的预期成果将大大推进我们对许多工业系统和过程的建模和控制方法。