The truncation method for a two-dimensional nonhomogeneous backward heat problem

DOI10.1016/j.amc.2010.03.038zbMath1197.65131OpenAlexW2085175064MaRDI QIDQ988584

Nguyen Huy Tuan, Dang Duc Trong, Phan Thành Nam

Publication date: 18 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.038

zbMATH Keywords

regularizationnumerical exampleserror estimateFourier seriesill-posed problemtruncation methodbackward heat problem

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Cites Work

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• Unnamed Item
• The Pricing of Options and Corporate Liabilities
• Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
• A modified quasi-boundary value method for ill-posed problems
• A new regularized method for two dimensional nonhomogeneous backward heat problem
• Fourier regularization for a backward heat equation
• Numerical solution of forward and backward problem for 2-D heat conduction equation
• A nonlinear case of the 1-D backward heat problem: regularization and error estimate
• A quasi Tikhonov regularization for a two-dimensional backward heat problem by a fundamental solution
• The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• Regularization strategies for a two-dimensional inverse heat conduction problem
• Approximate solution of a Cauchy problem for the Helmholtz equation
• Properties of solutions of ordinary differential equations in banach space

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