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Volume 9, Issue 1
Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels

Jingjun Zhao, Teng Long & Yang Xu

East Asian J. Appl. Math., 9 (2019), pp. 67-86.

Published online: 2019-01

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  • Abstract

A multistep collocation method on uniform grids for weakly singular Volterra integral equations is considered. The initial integral equation is modified by a smoothing transformation and then solved by a multistep collocation method on a uniform grid. Convergence and linear stability are also studied. Numerical results demonstrate the efficiency of the method.

  • AMS Subject Headings

65L20

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-9-67, author = {}, title = {Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {1}, pages = {67--86}, abstract = {

A multistep collocation method on uniform grids for weakly singular Volterra integral equations is considered. The initial integral equation is modified by a smoothing transformation and then solved by a multistep collocation method on a uniform grid. Convergence and linear stability are also studied. Numerical results demonstrate the efficiency of the method.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.030118.070518}, url = {http://global-sci.org/intro/article_detail/eajam/12935.html} }
TY - JOUR T1 - Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels JO - East Asian Journal on Applied Mathematics VL - 1 SP - 67 EP - 86 PY - 2019 DA - 2019/01 SN - 9 DO - http://doi.org/10.4208/eajam.030118.070518 UR - https://global-sci.org/intro/article_detail/eajam/12935.html KW - Multistep collocation method, Volterra integral equation, weakly singular kernel. AB -

A multistep collocation method on uniform grids for weakly singular Volterra integral equations is considered. The initial integral equation is modified by a smoothing transformation and then solved by a multistep collocation method on a uniform grid. Convergence and linear stability are also studied. Numerical results demonstrate the efficiency of the method.

Jingjun Zhao, Teng Long & Yang Xu. (2020). Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels. East Asian Journal on Applied Mathematics. 9 (1). 67-86. doi:10.4208/eajam.030118.070518
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