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Extended Residual Power Series Algorithm for Boundary Value Problems

Author

Listed:
  • Mubashir Qayyum
  • Qursam Fatima
  • Muhammad Sohail
  • Essam R. El-Zahar
  • K. C. Gokul
  • Angel Manuel Ramos

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.

Suggested Citation

  • Mubashir Qayyum & Qursam Fatima & Muhammad Sohail & Essam R. El-Zahar & K. C. Gokul & Angel Manuel Ramos, 2022. "Extended Residual Power Series Algorithm for Boundary Value Problems," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-14, September.
    • Handle: RePEc:hin:jnlmpe:1039222
    DOI: 10.1155/2022/1039222
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    Cited by:

    1. Essam R. El-Zahar & Ghaliah F. Al-Boqami & Haifa S. Al-Juaydi, 2024. "Approximate Analytical Solutions for Strongly Coupled Systems of Singularly Perturbed Convection–Diffusion Problems," Mathematics, MDPI, vol. 12(2), pages 1-24, January.

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