Application of discrete wavelet transform to the solution of boundary value problems for quasi-linear parabolic equations

DOI10.1016/J.AMC.2012.11.033zbMATH Open1286.65136OpenAlexW1964267386MaRDI QIDQ2444300

O. A. Dyshin, Baghir A. Suleimanov

Publication date: 9 April 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.11.033

zbMATH Keywords

discontinuous coefficientsdiscrepancy principleregularization methodquasi-linear parabolic equationswavelet methodirregular operator equationfinite-dimensional approximation schemegradient-type iterative methodregular multi-resolution analysisunsteady porous-medium flow equationweak and approximate weak solutions to initial boundary value problems

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs with low regular coefficients and/or low regular data (35R05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Quasilinear parabolic equations (35K59)

Related Items (1)

Wavelet based quasilinearization method for semi-linear parabolic initial boundary value problems

Uses Software

• UNCMND
• pchip

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