2016Journal of the Association of Arab Universities for Basic and Applied SciencesOpen access

Optimal variational iteration method for nonlinear problems

Syed Tauseef Mohyud‐Din, Waseem Sikander, Umar Khan, Naveed Ahmed

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Abstract

This paper focuses on the study of boundary value problems using well-known He’s variational iteration method which is coupled with an auxiliary parameter. Three examples are given to show the efficiency and importance of the proposed algorithm. The reliability and accuracy has been proved by comparing our results with the solution obtained by standard variational iteration method.

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What this paper is about

This paper focuses on the study of boundary value problems using well-known He’s variational iteration method which is coupled with an auxiliary parameter. Three examples are given to show the efficiency and importance of the proposed algorithm. The reliability and accuracy has been proved by comparing our results with the solution obtained by standard variational iteration method.

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Available abstract

This paper focuses on the study of boundary value problems using well-known He’s variational iteration method which is coupled with an auxiliary parameter. Three examples are given to show the efficiency and importance of the proposed algorithm. The reliability and accuracy has been proved by comparing our results with the solution obtained by standard variational iteration method.

Key concepts: Reliability (semiconductor), Mathematics, Applied mathematics, Mathematical optimization, Nonlinear system, Power iteration, Boundary value problem, Value (mathematics)

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