The solution of fifth and sixth order linear and non linear boundary value problems by the Improved Residual Power Series Method

https://doi.org/10.48185/jmam.v3i1.386

Authors

  • Muhammad Gul Islamia College Peshawar, Khyber Pakhtunkhwa
  • Hamid Khan Islamia College Peshawar Khyber Pakhtunkhawa, Pakistan
  • Abid Ali Department of Mathematics, Islamia College Peshawar, Khyber Pakhtunkhawa, Pakistan

Keywords:

Improved residual power series method, Fifth and sixth order BVPs, Comparative analysis, Different techniques

Abstract

In this paper we solve some fifth and sixth order boundary value problems (BVPs) by the improved residual power series method (IRPSM). IRPSM is a method that extends the residual power series method (RPSM) to (BVPs) without requiring exact solution. The presented method is capable to handle both linear and nonlinear boundary value problems (BVPs) effectively. The solutions provided by IRPSM are compared with the actual solution and with the existing solutions. The results demonstrate that the approach is extremely accurate and dependable.

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Published

2022-03-21

How to Cite

Muhammad Gul, Hamid Khan, & Ali, A. . (2022). The solution of fifth and sixth order linear and non linear boundary value problems by the Improved Residual Power Series Method. Journal of Mathematical Analysis and Modeling, 3(1), 1–14. https://doi.org/10.48185/jmam.v3i1.386

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Articles