The solution of twelfth order boundary value problems by the improved residual power series method: new approach. (4th March 2023)

• Record Type: Journal Article
• Authors: Khan, Hamid; Ullah, Ikram; Ali, Javed; Jamshed, Wasim; Aziz, Arsalan; Irfan Shah, Syed
• Is Part Of: International journal of modelling & simulation. Volume 43:Number 2(2023)
• Page Start: 64
• Page End: 74
• Publication Date: 2023-03-04
• Subjects: Improved residual power series method -- boundary value problems -- comparative analysis; Mathematical models -- Periodicals; Simulation methods -- Periodicals; Mathematical models; Simulation methods; Periodicals; 003.3
• DOI: 10.1080/02286203.2022.2051160
• Languages: English
• ISSNs: 0228-6203

Abstract

ABSTRACT: This work presents the extension of the Residual Power Series Method (RPSM) to boundary value problems using Mathematica software. This development is tested on twelfth-order linear and non-linear boundary value problems. The residual analysis and solutions are designed through tables and figures. The results show a very strong agreement with the exact solution and the comparison of the results with the other well-known methods shows the superiority of this method.