Numerical solution of Volterra integral equations via Szász-Mirakyan approximation method

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Tarih

2020

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John Wiley and Sons Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Szász-Mirakyan operators are a powerful tool that can be used to approximate functions on the unbounded interval (Formula presented.). In this contribution, we propose a numerical solution of Volterra integral equations with the help of Szász-Mirakyan operators. In this direction, we provide both numerical scheme and estimation of error bound of solution. Numerical experiments are also presented, highlighting the performance of the new constructions of proposed algorithm in the context of one-dimensional approximation. © 2020 John Wiley & Sons, Ltd.

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Anahtar Kelimeler

numerical solution; Szász-Mirakyan approximation; volterra integral equation

Kaynak

Mathematical Methods in the Applied Sciences

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Q1

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