Extended Residual Power Series Algorithm for Boundary Value Problems

Author:

Qayyum Mubashir1ORCID,Fatima Qursam1,Sohail Muhammad2ORCID,El-Zahar Essam R.34,Gokul K. C.5ORCID

Affiliation:

1. Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore, Pakistan

2. Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, Pakistan

3. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, P.O. Box 83, Al-Kharj 11942, Saudi Arabia

4. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt

5. Department of Mathematics, School of Science, Kathmandu University, Dhulikhel, Nepal

Abstract

In this article, modification of the residual power series method (RPSM) is proposed for higher order boundary value problems (BVPs). The proposed algorithm is tested against various linear and nonlinear BVPs of orders nine up to thirteen. For the efficiency check of RPSM, obtained series solutions are compared with other available results in the literature. Analysis indicates that RPSM is better in terms of accuracy as compared to other mentioned schemes. As RPSM is applicable to BVPs without linearization, discretization, and perturbation, hence practically it is the best suitable solution tool for more complex BVPs in science and engineering.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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