Spectral Quasilinearization Method for the Numerical Solution of the Non-standard Volterra Integral Equations

Farideh Zare; Mohammad Heydari; Ghasem Barid Loghmani

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Spectral Quasilinearization Method for the Numerical Solution of the Non-standard Volterra Integral Equations

机译：Spectral Quasilinearization Method for the Numerical Solution of the Non-standard Volterra Integral Equations

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摘要

In this paper, an iterative scheme is proposed through quasilinearization and the Legendre spectral collocation method to approximate the solution of the non-standard Volterra integral equations (NVIEs). At first, the process of quasilinearization serves to turn a NVIE into a sequence of linear Volterra integral equations. Then, in each iteration, the linear problem is solved by the Legendre spectral collocation method. After that, a convergence analysis is performed. The efficiency and accuracy of the proposed scheme are also verified through several illustrative examples.

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来源
《Iranian Journal of Science》 |2023年第1期|229-247|共19页
作者
Farideh Zare; Mohammad Heydari; Ghasem Barid Loghmani;
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作者单位

Department of Mathematical Sciences, Yazd University, Yazd, Iran;

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正文语种英语
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Non-standard Volterra integral equations; Quasilinearization method; Legendre spectral collocation method; Convergence analysis;

Spectral Quasilinearization Method for the Numerical Solution of the Non-standard Volterra Integral Equations

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