Variational Iteration Algorithm-I with an Auxiliary Parameter for Solving Boundary Value Problems
Hijaz Ahmad, Muhammad Rafiq, Clemente Cesarano, Hülya Durur
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.
Topics & Concepts
AlgorithmValue (mathematics)Boundary value problemBoundary (topology)MathematicsMathematical optimizationComputer scienceApplied mathematicsMathematical analysisStatisticsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNumerical methods in engineering