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SPECTRAL-COLLOCATION METHOD FOR FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

Yanping Chen|Yin Yang|Yunqing Huang
대한수학회 (The Korean Mathematical Society)|2014.01|대한수학회지 (Journal of the KMS)|제51권 제1호|pp. 203-224

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참고문헌

키워드

spectral Jacobi-collocation methodCaputo derivative.
주제분류수학

초록

We propose and analyze a spectral Jacobi-collocation approx- imation for fractional order integro-differential equations of Fredholm- Volterra type. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collection method, which shows that the errors of the approximate solution decay exponentially in L ∞ norm and weighted L²-norm. The numerical examples are given to illustrate the theoretical results.

Abstract

We propose and analyze a spectral Jacobi-collocation approx- imation for fractional order integro-differential equations of Fredholm- Volterra type. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collection method, which shows that the errors of the approximate solution decay exponentially in L ∞ norm and weighted L²-norm. The numerical examples are given to illustrate the theoretical results.

참고문헌 (41)

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