Reconstruction of inaccessible boundary value in a sideways parabolic problem with variable coefficients -- forward collocation with finite integration method

DOI10.1016/j.enganabound.2015.07.007zbMath1403.65054OpenAlexW1073063667MaRDI QIDQ1654835

Dinghua Xu, Yue Yu, Benny Y. C. Hon

Publication date: 9 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2015.07.007

zbMATH Keywords

radial basis function collocationheat and moisture transferfinite integrationreconstruction of inaccessible boundary valuesideways parabolic problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items

An integration preconditioning method for solving option pricing problems, Finite integration method with radial basis function for solving stiff problems, Mathematical modeling and inverse problem approaches for functional clothing design based on thermal mechanism, TV‐like regularization for backward parabolic problems, A spring-damping regularization of the Fourier sine series solution to the inverse Cauchy problem for a 3D sideways heat equation, Unnamed Item

Cites Work

• Unnamed Item
• Fourier regularization method for solving the surface heat flux from interior observations
• Fourier regularization method of a sideways heat equation for determining surface heat flux
• A stable space marching finite differences algorithm for the inverse heat conduction problem with no initial filtering procedure
• Spectral regularization methods for solving a sideways parabolic equation within the framework of regularization theory
• The mollification method and the numerical solution of the inverse heat conduction problem by finite differences
• Recent developments in error estimates for scattered-data interpolation via radial basis functions
• Finite integration method for partial differential equations
• Finite integration method for nonlocal elastic bar under static and dynamic loads
• Two regularization methods and the order optimal error estimates for a sideways parabolic equation
• Fluid flow and transport processes in a large area atmospheric pressure stagnation flow CVD reactor for deposition of thin films
• Numerical algorithms for a sideways parabolic problem with variable coefficients
• Iteration methods on sideways parabolic equations
• An 'optimal filtering' method for the sideways heat equation
• Determining Surface Temperatures from Interior Observations
• On a sideways parabolic equation
• Optimal stable approximations for the sideways heat equation
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
• Numerical solution of the sideways heat equation by difference approximation in time
• Thickness determination in textile material design: dynamic modeling and numerical algorithms
• An inverse problem of Bilayer textile thickness determination in dynamic heat and moisture transfer