Piecewise Legendre spectral-collocation method for Volterra integro-differential equations
2015 ◽
Vol 18
(1)
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pp. 231-249
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Keyword(s):
Our main purpose in this paper is to propose the piecewise Legendre spectral-collocation method to solve Volterra integro-differential equations. We provide convergence analysis to show that the numerical errors in our method decay in$h^{m}N^{-m}$-version rate. These results are better than the piecewise polynomial collocation method and the global Legendre spectral-collocation method. The provided numerical examples confirm these theoretical results.
2016 ◽
Vol 21
(6)
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pp. 719-740
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2003 ◽
Vol 8
(4)
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pp. 315-328
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2014 ◽
Vol 51
(1)
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pp. 203-224
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1999 ◽
Vol 68
(227)
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pp. 1079-1096
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2018 ◽
Vol 10
(6)
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pp. 1440-1458
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2020 ◽
Vol 12
(6)
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pp. 168781402092211
2019 ◽
Vol 348
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pp. 377-395
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