Extended Residual Power Series Algorithm for Boundary Value Problems
Published: 15 September 2022
Mathematical Problems in Engineering , Volume 2022, pp 1-14; https://doi.org/10.1155/2022/1039222
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.
Keywords: nonlinear / schemes / discretization / perturbation / check / science / thirteen / value problems / boundary value
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Click here to see the statistics on "Mathematical Problems in Engineering" .