Chebyshev collocation method for the two-dimensional heat equation

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

References

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