Chebyshev collocation method for the two-dimensional heat equation

Yıl 2018, Cilt: 3 Sayı: 2, 1 - 8, 30.08.0208

Sevin Gumgum Emel Kurul Nurcan Baykus Savasaneril

Öz

The purpose of this study is to apply the Chebyshev collocation method to the two- dimensional heat equation. The method
converts the two-dimensional heat equation to a matrix equation, which corresponds to a system of linear algebraic equations. Error
analysis and illustrative example is included to demonstrate the validity and applicability of the technique.

Anahtar Kelimeler

Heat equation, Chebyshev collocation method, Chebyshev polynomial solutions

Kaynakça

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