Haar wavelet method for two-dimensional parabolic inverse problem with a control parameter

DOI10.1007/s12215-019-00448-7zbMath1466.65107OpenAlexW2971382437MaRDI QIDQ2657348

Yanyan Li

Publication date: 12 March 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-019-00448-7

zbMATH Keywords

cubic splineTaylor series expansionHaar wavelet methodsource control parameterCPU time

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Initial-boundary value problems for second-order parabolic equations (35K20) Numerical methods for wavelets (65T60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

Analysis for two-dimensional inverse quasilinear parabolic problem by Fourier method ⋮ An accurate and efficient numerical solution for the generalized Burgers-Huxley equation via Taylor wavelets method: qualitative analyses and applications ⋮ Comparative work for the source identification in parabolic inverse problem based on Taylor and Chebyshev wavelet methods

Cites Work

• Unnamed Item
• Unnamed Item
• Ritz-least squares method for finding a control parameter in a one-dimensional parabolic inverse problem
• A finite difference solution to a two-dimensional parabolic inverse problem
• Solving PDEs with the aid of two-dimensional Haar wavelets
• Determination of an unknown source parameter in two-dimensional heat equation
• Application of sinc-collocation method for solving an inverse problem
• An inverse problem of finding a parameter in a semi-linear heat equation
• Direct numerical method for an inverse problem of a parabolic partial differential equation
• The meshless method for a two-dimensional parabolic problem with a source parameter
• Determination of source parameter in parabolic equations
• Numerical solution of differential equations using Haar wavelets
• A numerical assessment of parabolic partial differential equations using Haar and Legendre wavelets
• Numerical solution of one-dimensional parabolic inverse problem
• Inverse heat problem of determining time-dependent source parameter in reproducing kernel space
• Solving 2D and 3D Poisson equations and biharmonic equations by the Haar wavelet method
• A numerical algorithm for determination of a control parameter in two-dimensional parabolic inverse problems
• A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification
• A splitting up algorithm for the determination of the control parameter in multi dimensional parabolic problem
• Parameter determination in a partial differential equation from the overspecified data
• Legendre multiscaling functions for solving the one-dimensional parabolic inverse problem
• Inversion Theory for a Parameterized Diffusion Problem
• Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
• Haar wavelet method for solving lumped and distributed-parameter systems

This page was built for publication: Haar wavelet method for two-dimensional parabolic inverse problem with a control parameter