A method based on Legendre Pseudo-Spectral Approximations for Solving Inverse Problems of Parabolic Types Equations

@inproceedings{Abdelkawy2015AMB,
  title={A method based on Legendre Pseudo-Spectral Approximations for Solving Inverse Problems of Parabolic Types Equations},
  author={M. A. Abdelkawy and Engy A. Ahmed and Pablo S{\'a}nchez},
  year={2015}
}
This paper reports a new Legendre Gauss-Lobatto collocation (SL-GL-C) method to solve numerically two inverse problems of parabolic partial differential types equations subject to initial-boundary conditions. This problem is reformulated by eliminating the unknown functions using some special assumptions based on Legendre Gauss-Lobatto quadrature rule. The SL-GL-C is utilized to solve non-classical parabolic initial-boundary value pro blems. Accordingly, the inverse problem is reduced into a… CONTINUE READING

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