A Meshless Method for Solving a Class of Inverse Heat Conduction Problems Over a Parallelogram Domain
Based on the method of combining fundamental solution and radial basis function,the initial value and heat source term of a class of inverse heat conduction problems are studied by using different radial basis as the basis of approximate solution and using paral-lelogram domain.Because the coefficient matrix of the equation constructed by interpolation is ill-conditioned,which means the number of conditions of the coefficient matrix is large,the singular value decomposition regularization method based on the GCV criterion is used to solve the linear equations.The numerical examples show that the proposed method is stable and effective by selecting different noise levels.