Analysis and numerical simulation of the three-dimensional Cauchy problem for quasi-linear elliptic equations

DOI10.1016/J.JMAA.2016.08.045zbMath1351.65068OpenAlexW2518603127MaRDI QIDQ321796

Nguyen Huy Tuan, Van Thinh Nguyen, Quoc Viet Tran, Mukhtar Bin Muhammad Kirane

Publication date: 14 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.08.045

zbMATH Keywords

convergencenumerical exampleCauchy problemfast Fourier transformcontraction principleregularization methodill-posed problemquasi-linear elliptic equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Quasilinear elliptic equations (35J62)

Related Items (4)

Generalized Tikhonov-type regularization method for the Cauchy problem of a semi-linear elliptic equation ⋮ Fractional Hermite interpolation for non-smooth functions ⋮ Unnamed Item ⋮ Generalized Lavrentiev-type regularization method for the Cauchy problem of a semi-linear elliptic equation

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