The Picard contraction mapping method for the parameter inversion of reaction-diffusion systems

DOI10.1016/j.camwa.2008.05.003zbMath1165.35399OpenAlexW2008810891MaRDI QIDQ2389720

Guangqing Long, Xiaoyan Deng, Bangju Wang

Publication date: 18 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.05.003

zbMATH Keywords

reaction-diffusion systemdifferential equationcontraction mappingcollage theoremparameter inversion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57)

Related Items (2)

Novel techniques in parameter estimation for fractional dynamical models arising from biological systems ⋮ Parameter estimation for partial differential equations by collage-based numerical approximation

Cites Work

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• The collage coding method and its application to an inverse problem for the Lorenz system
• Fractal functions and interpolation
• Inverse problems for ODEs using contraction maps and suboptimality of the  collage method
• Solution of an inverse problem for fractals and other sets
• Solving inverse problems for ordinary differential equations using the Picard contraction mapping
• Solving the inverse problem for measures using iterated function systems: a new approach

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