A Kernel-based Method for the Approximate Solution of Backward Parabolic Problems

DOI10.1137/S0036142994276785zbMath0889.65100OpenAlexW2073763729MaRDI QIDQ4377507

James F. Epperson, Karen A. Ames

Publication date: 10 February 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142994276785

zbMATH Keywords

error estimatesregularizationnumerical examplesparabolic equationsill-posed problemsfirst-kind Fredholm integral equationbackwards solution

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Integral representations of solutions to PDEs (35C15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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