# 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} }

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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## Numerical Solution for High-Order Linear Complex Differential Equations By Hermite Polynomials

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## Gegenbauer Polynomial Method for Linear Complex Differential Equations

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