RESOLUTION OF AN INVERSE PROBLEM BY HAAR BASIS AND LEGENDRE WAVELET METHODS

DOI10.1142/S0219691313500343zbMath1277.65079OpenAlexW2143557560MaRDI QIDQ2855819

Amin Esfahani, Reza Pourgholi, S. Foadian, Sona Parehkar

Publication date: 22 October 2013

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691313500343

zbMATH Keywords

convergencenoisy datanumerical exampleserror analysisTikhonov regularizationFisher's equationLegendre wavelet methodill-posed inverse problemsHaar basis method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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The inverse solution of the coupled nonlinear reaction–diffusion equations by the Haar wavelets ⋮ Some properties of orthogonal linear splines and their applications to inverse problems ⋮ A special generalized HSS method for discrete ill-posed problems

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