Application of the decomposition method to identify the distributed parameters of an elliptical equation

DOI10.1016/0895-7177(95)00006-NzbMath0822.65120OpenAlexW2043342811MaRDI QIDQ1804950

S. Guellal, Yves Cherruault

Publication date: 15 October 1995

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(95)00006-n

zbMATH Keywords

decomposition methodinverse problemHilbert spaceparameter identificationnonlinear equationsecond-order elliptic boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Applications to the sciences (65Z05)

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Cites Work

• Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
• New results for convergence of Adomian's method applied to integral equations
• A widely convergent method for determining the distributed parameters of the elliptical equation
• A mathematical model of the histamine release
• Decomposition methods: A new proof of convergence
• Convergence of Adomian's method applied to differential equations
• Convergence of Adomian's Method
• Esquisse d'une théorie décompositionnelle
• A review of the decomposition method and some recent results for nonlinear equations