A radial basis function (RBF)-finite difference (FD) method for the backward heat conduction problem

DOI10.1016/j.amc.2019.02.035zbMath1428.74222OpenAlexW2920642640WikidataQ128288656 ScholiaQ128288656MaRDI QIDQ2011094

Lingde Su

Publication date: 28 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.02.035

zbMATH Keywords

inverse problemradial basis functions (RBFs)RBF-FD methodbackward heat conduction problems (BHCP)

Mathematics Subject Classification ID

Finite difference methods applied to problems in solid mechanics (74S20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (15)

A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations ⋮ Meshless numerical model based on radial basis function (RBF) method to simulate the Rayleigh-Taylor instability (RTI) ⋮ The Inverse Heat Transfer Problem of Malan Loess Based on Machine Learning with Finite Element Solver as the Trainer ⋮ DeepBHCP: deep neural network algorithm for solving backward heat conduction problems ⋮ Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions ⋮ Guidelines for RBF-FD discretization: numerical experiments on the interplay of a multitude of parameter choices ⋮ A collocation method with space-time radial polynomials for inverse heat conduction problems ⋮ A localisation technique based on radial basis function partition of unity for solving Sobolev equation arising in fluid dynamics ⋮ Prescribed chattering reduction control for quadrotors using aperiodic signal updating ⋮ Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: a numerical simulation approach ⋮ A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates ⋮ A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations ⋮ Application of a local meshless modified characteristic method to incompressible fluid flows with heat transport problem ⋮ Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems ⋮ RBF-FD discretization of the Navier-Stokes equations on scattered but staggered nodes

Uses Software

• Matlab

Cites Work

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