A Jacobi-Jacobi dual-Petrov-Galerkin method for third- and fifth-order differential equations

@article{Doha2011AJD,
  title={A Jacobi-Jacobi dual-Petrov-Galerkin method for third- and fifth-order differential equations},
  author={Eid H. Doha and A. H. Bhrawy and R. M. Hafez},
  journal={Mathematical and Computer Modelling},
  year={2011},
  volume={53},
  pages={1820-1832}
}
This paper analyzes a method for solving the third- and fifth-order differential equations with constant coefficients using a Jacobi dual-Petrov-Galerkin method, which is more reasonable than the standard Galerkin one. The spatial approximation is based on Jacobi polynomials P"n^(^@a^,^@b^) with @a,@[email protected]?(-1,~) and n is the polynomial degree. By choosing appropriate base functions, the resulting system is sparse and the method can be implemented efficiently. A Jacobi-Jacobi dual… CONTINUE READING
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