Variational Iteration Method for Partial Differential Equations with Piecewise Constant Arguments

  • Qi Wang School of Applied Mathematics, Guangdong University of Technology, Guangzhou, China
Keywords: Variational iteration method; Partial differential equations; Piecewise constant arguments; Approximate solutions

Abstract

In this paper, the variational iteration method is applied to solve the partial differential equations with piecewise constant arguments. This technique provides a sequence of functions which converges to the exact solutions of the problem and is based on the use of Lagrange
multipliers for identification of optimal value of a parameter in a functional. Employing this technique, we obtain the approximate solutions of the above mentioned equation in every interval [n, n + 1) (n = 0, 1, · · ·). Illustrative examples are given to show the efficiency of the
method.

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References

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Published
2020-12-19
How to Cite
Wang, Q. (2020). Variational Iteration Method for Partial Differential Equations with Piecewise Constant Arguments. Journal of Progressive Research in Mathematics, 17(1), 100-108. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1981
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Articles