Hermite multiwavelets representation for the sparse solution of nonlinear Abel’s integral equation

作者：

Highlights：

• The singular Abel’s integral equation of the second kind is considered.

• The Hermite multiwavelet Galerkin method is applied for approximation of solution.

• The convergence analysis is investigated.

摘要

•The singular Abel’s integral equation of the second kind is considered.•The Hermite multiwavelet Galerkin method is applied for approximation of solution.•The convergence analysis is investigated.

论文关键词：Abel’s equation,Caputo fractional derivative,Riemann–Liouville fractional derivative,Biorthogonal Hermite cubic spline scaling

论文评审过程：Received 31 October 2021, Revised 29 March 2022, Accepted 6 April 2022, Available online 20 April 2022, Version of Record 20 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127171