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Title

New Elzaki Variational Iteration Method of Nonlinear Partial Differential Equations

Author

A. A.Alderremya, Tarig M. Elzakib

Citation

Vol. 25  No. 9  pp. 152-158

Abstract

In this paper we give a good strategy for solving some linear and nonlinear partial differential equations in applied mathematics fields, by combining Elzaki transform and the modified variational iteration method. This method is based on the variational iteration method, Elzaki transforms and convolution integral, such that, we introduce an alternative Elzaki correction functional and expressing the integral as a convolution. Some examples in applied mathematics are provided to illustrate the simplicity and reliability of this method. The solutions of these examples are contingent only on the initial conditions.

Keywords

Elzaki transform, He's a variational iteration method, Nonlinear partial differential equations, Convolution integral.

URL

http://paper.ijcsns.org/07_book/202509/20250921.pdf