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

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 an...

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Veröffentlicht in:	Numerical methods for partial differential equations 2017-01, Vol.33 (1), p.88-104
Hauptverfasser:	Pourgholi, Reza, Saeedi, Akram
Format:	Artikel
Sprache:	eng
Schlagworte:	Continuity (mathematics) convergence analysis cubic B‐spline basis functions Derivatives Dirichlet problem Ill‐posed inverse problems Inverse Mathematical models noisy data Nonlinearity Numerical analysis Partial differential equations stability analysis tikhonov regularization method
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