Comparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra - Fredholm integral equations | Zendy

Doaa Mohamed | Zendy; R.A. Taher | Zendy

Open Access

Comparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra - Fredholm integral equations

Author(s) -

Doaa Mohamed,

R.A. Taher

Publication year - 2017

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2017.03.002

Subject(s) - legendre polynomials , mathematics , chebyshev polynomials , chebyshev equation , chebyshev iteration , chebyshev filter , volterra integral equation , chebyshev nodes , fredholm integral equation , integral equation , mathematical analysis , volterra equations , legendre's equation , classical orthogonal polynomials , orthogonal polynomials , nonlinear system , physics , quantum mechanics

In this paper we apply Chebyshev and Legendre polynomials methods to obtain the approximate solution of mixed Volterra - Fredholm singular integral equations. Comparison between the two methods has been presented, we present some examples to determine the accuracy of the methods

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