Cubic B-spline method for the solution of an inverse parabolic system

DOI10.1080/00036811.2016.1272102zbMath1466.65103OpenAlexW2571398700WikidataQ58144735 ScholiaQ58144735MaRDI QIDQ5856162

S. Hashem Tabasi, S. Foadian, Reza Pourgholi

Publication date: 24 March 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1272102

zbMATH Keywords

convergence analysisstability analysisnoisy dataTikhonov regularization methodcubic B-splineill-posed inverse problems

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Ill-posedness and regularization problems in numerical linear algebra (65F22) Ill-posed problems for PDEs (35R25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) 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) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)

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Cites Work

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• Explicit multistep method for the numerical solution of RLW equation
• Numerical solution of the coupled viscous Burgers equation
• A note on the computation of the generalized cross-validation function for ill-conditioned least squares problems
• Recent results on the controllability of linear coupled parabolic problems: a survey
• Problèmes aux limites non homogènes. II, III
• A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection-diffusion problem
• Spectral inequalities for non-selfadjoint elliptic operators and application to the null-controllability of parabolic systems
• Boundary controllability of parabolic coupled equations
• A user's guide to PDE models for chemotaxis
• Combined mollification - future temperatures procedure for solution of inverse heat conduction problem
• Optimal error bounds for cubic spline interpolation
• A reaction-diffusion system with fast reversible reaction.
• Numerical method using cubic B-spline for the heat and wave equation
• Null-controllability of some reaction-diffusion systems with one control force
• Ritz–Galerkin method for solving an inverse heat conduction problem with a nonlinear source term via Bernstein multi-scaling functions and cubic B-spline functions
• Dual reciprocity boundary element method solution of the Cauchy problem for Helmholtz-type equations with variable coefficients
• A numerical method for solving a nonlinear inverse parabolic problem
• Contraction in L^1 for a system arising in chemical reactions and molecular motors
• Combined function specification-regularization procedure for solution of inverse heat conduction problem
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• Inverse heat conduction based on boundary measurement
• Numerical solutions of generalized Burgers–Fisher and generalized Burgers–Huxley equations using collocation of cubicB-splines
• Radial basis functions method for parabolic inverse problem
• Numerical solutions of two-dimensional unsteady convection–diffusion problems using modified bi-cubicB-spline finite elements

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