Numerical Investigation of Volterra Integral Equations of Second Kind using Optimal Homotopy Asymptotic Method
作者：
Highlights：
• Various types of Volterra integral equation of second kind are solved by using OHAM.
• The existence and uniqueness of solutions are proved in this work.
• The convergence of the approximate solutions using the proposed method is investigated.
• Error’s estimation to the corresponding numerical scheme is also carried out.
• The convergence analysis of the corresponding numerical scheme is carried out as well.
• The reliability and accuracy of OHAM have been shown by comparison of derived solutions with solutions obtained by other existing methods.
• The efficiency of the proposed numerical technique is exhibited through graphical illustrations, and results are drafted in tabular form to validate the numerical investigation.
摘要
•Various types of Volterra integral equation of second kind are solved by using OHAM.•The existence and uniqueness of solutions are proved in this work.•The convergence of the approximate solutions using the proposed method is investigated.•Error’s estimation to the corresponding numerical scheme is also carried out.•The convergence analysis of the corresponding numerical scheme is carried out as well.•The reliability and accuracy of OHAM have been shown by comparison of derived solutions with solutions obtained by other existing methods.•The efficiency of the proposed numerical technique is exhibited through graphical illustrations, and results are drafted in tabular form to validate the numerical investigation.
论文关键词：Taylor series expansion,Residual equation,Auxiliary function,Convergence analysis,Error’s estimation
论文评审过程：Received 14 April 2022, Revised 1 June 2022, Accepted 4 June 2022, Available online 11 June 2022, Version of Record 11 June 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127304
