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Fast and precise spectral method for solving pantograph type Volterra integro-differential equations - MaRDI portal

Fast and precise spectral method for solving pantograph type Volterra integro-differential equations (Q2414697)

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Fast and precise spectral method for solving pantograph type Volterra integro-differential equations
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    Fast and precise spectral method for solving pantograph type Volterra integro-differential equations (English)
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    17 May 2019
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    The paper discusses the application of the special case of a well known general numerical solution method -- a collocation spectral approach based on shifted Chebyshev polynomials -- to a very specific class of differential equations, viz.\ a Volterra integro-differential pantograph equation. The authors provide a superficial error analysis and some numerical examples with very smooth analytic solutions that are rather un-representative for what one encounters in practice.
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    operational matrix
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    Chebyshev polynomials
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    collocation method
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    pantograph differential equation
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    Volterra integro-differential equation
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