Chebyshev collocation method for the two-dimensional heat equation

Year 2018, Volume: 3 Issue: 2, 1 - 8, 30.08.0208

Sevin Gumgum , Emel Kurul Nurcan Baykus Savasaneril

Abstract

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.

Keywords

Heat equation, Chebyshev collocation method, Chebyshev polynomial solutions

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