The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
Copyright policy )The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
Necessary and sufficient conditions on the coefficients for the time- stability of the equation: \((*)\quad u_ t=u_{xx}, | x|0\) are given. The authors review and modify some conditions which assure that a polynomial has negative, real and distinct roots. The collocation Chebyshev method for the equation (*) is studied. The time- stability of the approximate solution is shown. An application to the full potential equation is also presented.
Chebyshev pseudospectral methods, Heat equation, Spectral, collocation and related methods for boundary value problems involving PDEs, time-stability, collocation Chebyshev method, full potential equation
Chebyshev pseudospectral methods, Heat equation, Spectral, collocation and related methods for boundary value problems involving PDEs, time-stability, collocation Chebyshev method, full potential equation
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