Recent Study on the Computation of the Lagrange Multiplier for the Variational Iteration Method (VIM) for Solving Differential Equations | Chapter 1 | Theory and Practice of Mathematics and Computer Science Vol. 9

 The Variational Iteration Method (VIM) is used to find the solution of differential equations in this chapter, with a focus on the option of the Lagrange multiplier when using VIM. Only the non-linear term in the correction functional is subjected to restricted variation. The operator D-Method and integrating factor are used in some aspects of determining the exact Lagrange multiplier for VIM, based on current methods and variational theories. When the computed exact Lagrange multiplier was compared to the approximate Lagrange multiplier, it was found that the computed exact Lagrange multiplier decreased the number of iterations needed to get a good approximate result by a large amount, and in some cases, the result converged to the exact solution after just one iteration. MAPLE Software is used to conduct the evaluations.

Author (s) Details

N. Okiotor
Department of Mathematics, University of Abuja, Abuja, Nigeria.

Prof. F. Ogunfiditimi
Department of Mathematics, University of Abuja, Abuja, Nigeria.

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