Variational Iteration Algorithm-I with an Auxiliary Parameter for Solving Boundary Value Problems

  • Hijaz Ahmad Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, Pakistan
  • Muhammad Rafiq Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, Pakistan
  • Clemente Cesarano Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
  • Hulya Durur Department of Computer Engineering, Faculty of Engineering, Ardahan University, Ardahan, 75000, Turkey
DOI: https://doi.org/10.34198/ejms.3220.229247

Abstract

In this article, the variational iteration algorithm-I with an auxiliary parameter (VIA-I with AP) is elaborated to initial and boundary value problems. The effectiveness, absence of difficulty and accuracy of the proposed method is remarkable and its tractability is well suitable for the use of these type of problems. Some examples have been given to show the effectiveness and utilization of this technique. A comparison of variational iteration algorithm-I (VIA-I) along VIA-I with AP has been carried out. It can be seen that this technique is more appropriate than as VIA-I.

Published
2020-02-26
How to Cite
Ahmad, H., Rafiq, M., Cesarano, C., & Durur, H. (2020). Variational Iteration Algorithm-I with an Auxiliary Parameter for Solving Boundary Value Problems. Earthline Journal of Mathematical Sciences, 3(2), 229-247. https://doi.org/10.34198/ejms.3220.229247
Issue
Vol 3 No 2 (2020)
Section
Articles


This work is licensed under a Creative Commons Attribution 4.0 International License.