Applications of cubic B‐splines collocation method for solving nonlinear inverse parabolic partial differential equations

作者：Reza Pourgholi; Akram Saeedi

来源：Numerical Methods for Partial Differential Equations, 2017, 33(1): 88-104.

DOI：10.1002/num.22073

• convergence analysis
• cubic B‐spline basis functions
• Ill‐posed inverse problems
• noisy data
• stability analysis
• tikhonov regularization method

In this article, we discuss a numerical method for solving some nonlinear inverse parabolic partial differential equations with Dirichlet's boundary conditions. The approach used, is based on collocation of cubic B‐splines over finite elements, so we have continuity of the dependent variable and its...