A collocation approach for solving a class of complex differential equations in elliptic domains

@inproceedings{Yzbasi2011ACA,
  title={A collocation approach for solving a class of complex differential equations in elliptic domains},
  author={Suayip Y{\"u}zbasi and Niyazi Sahin and Mustafa G{\"u}lsu},
  booktitle={J. Num. Math.},
  year={2011}
}
  • Suayip Yüzbasi, Niyazi Sahin, Mustafa Gülsu
  • Published in J. Num. Math. 2011
  • Mathematics, Computer Science
  • Abstract In this paper, a numerical method is developed to compute an approximate solution of high-order linear complex differential equations in elliptic domains. By using collocation points and Bessel polynomials, this method transforms the linear complex differential equation into a matrix equation which corresponds to a system of linear equations in the unknown Bessel coefficients. The suggested method reproduces the analytic solution when it is polynomial. Some numerical examples are given… CONTINUE READING

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