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Modified numerical approaches for a class of Volterra integral equations with proportional delays

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Abstract

This paper addresses modified-meshless numerical schemes for dynamical systems with proportional delays. The proposed mesh reduction techniques are based on a redial-point interpolation and moving least-squares methods. An optimal influence domain radius is constructed utilizing nodal connectivity and node-depending integration background mesh. Optimal shape parameters are obtained by the use of properties of the delta Kronecker and the compactly supported weight function. Numerical results are provided to justify the accuracy and efficiency of the proposed schemes.

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Authors and Affiliations

  1. Department of Mathematics, University of Mazandran, Babolsar, Iran

    Elham Taghizadeh & Mashallah Matinfar

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  1. Elham Taghizadeh
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  2. Mashallah Matinfar
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Correspondence to Elham Taghizadeh.

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Communicated by Hui Liang.

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Taghizadeh, E., Matinfar, M. Modified numerical approaches for a class of Volterra integral equations with proportional delays. Comp. Appl. Math. 38, 63 (2019). https://doi.org/10.1007/s40314-019-0819-3

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  • DOI: https://doi.org/10.1007/s40314-019-0819-3

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