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Volume 13, Issue 4
Hermite-Type Method for Volterra Integral Equation with Certain Weakly Singular Kernel

G. Q. Han & L. Q. Zhang

J. Comp. Math., 13 (1995), pp. 306-314.

Published online: 1995-08

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  • Abstract

We discuss the Hermite-type collocation method for the solution of Volterra integral equation with weakly singular kernel. The constructed approximation is a cubic spline in the continuity class C$^1$. We prove that this method is convergent with order of four.

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@Article{JCM-13-306, author = {G. Q. Han and L. Q. Zhang}, title = {Hermite-Type Method for Volterra Integral Equation with Certain Weakly Singular Kernel}, journal = {Journal of Computational Mathematics}, year = {1995}, volume = {13}, number = {4}, pages = {306--314}, abstract = {

We discuss the Hermite-type collocation method for the solution of Volterra integral equation with weakly singular kernel. The constructed approximation is a cubic spline in the continuity class C$^1$. We prove that this method is convergent with order of four.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9272.html} }
TY - JOUR T1 - Hermite-Type Method for Volterra Integral Equation with Certain Weakly Singular Kernel AU - G. Q. Han & L. Q. Zhang JO - Journal of Computational Mathematics VL - 4 SP - 306 EP - 314 PY - 1995 DA - 1995/08 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9272.html KW - AB -

We discuss the Hermite-type collocation method for the solution of Volterra integral equation with weakly singular kernel. The constructed approximation is a cubic spline in the continuity class C$^1$. We prove that this method is convergent with order of four.

G. Q. Han and L. Q. Zhang. (1995). Hermite-Type Method for Volterra Integral Equation with Certain Weakly Singular Kernel. Journal of Computational Mathematics. 13 (4). 306-314. doi:
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