Abstract
A Novel Spacetime Collocation Meshless Method for Solving Two-Dimensional Backward Heat Conduction Problems
Highlights
There are many backward heat conduction problems (BHCP) encountered in various engineering and industrial practices
Since the unknown temperatures have to be determined from final time and boundary data which may be contaminated by measurement error, the BHCP is categorized into one of the ill-posed problems where small perturbation on the measured data may amplify error in the numerical solutions [Marin (2008)]
We present a novel spacetime collocation meshless method (SCMM) for solving the two-dimensional BHCP
Summary
There are many backward heat conduction problems (BHCP) encountered in various engineering and industrial practices. Movahedian et al [Movahedian, Boroomand and Soghrati (2013)] applied the Trefftz method based on adopting the exponential basis functions to solve the inverse heat conduction problem. Arghand et al [Arghand and Amirfakhrian (2015)] proposed a meshless method based on the MFS and the RBF to solve the inverse heat conduction problem. A novel advanced meshless method based on the spacetime coordinate system has been developed which can provide promising numerical solution for the transient flow problems [Ku, Liu, Xiao et al (2017); Ku, Liu, Su et al (2018)].
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