Direct collocation method for identifying the initial conditions in the inverse wave problem using radial basis functions

DOI10.1080/17415977.2018.1428968zbMath1428.65036OpenAlexW2792203551MaRDI QIDQ5240409

Zhihao Qian, Yukui Gao, Li-hua Wang, Zhen Wang, Yue-Ting Zhou

Publication date: 25 October 2019

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2018.1428968

zbMATH Keywords

radial basis functionsinitial conditionsdirect collocation methodill-posed systeminverse wave problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order hyperbolic equations (35L20) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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