A study of variational iteration method for solving various types of problems

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Authors :

E.Rama 1 * , K.Somaiah 2 and K.Sambaiah 3

Author Address :

1 Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India.
2 Department of Mathematics, Kakatiya University, Vidyaranyapuri, Warangal, Telangana State, India.
3 Flat No.101, Riddhi’s Pebble, Madhapur, Hyderabad, Telangana State, India.

*Corresponding author.

Abstract :

This paper presents the application of He’s Variational Iteration Method for various types of problems. This method is applied to find successive approximate solutions of first order differential equation with single condition, second order differential equations with two conditions, an isoperimetric problem and Volterra integral equations of second kind. It was shown that they are converging to their exact solutions. The successive approximations and exact solution are shown graphically.

Keywords :

Successive Approximate Solution, Variational Iteration Method

DOI :

10.26637/MJM0901/0123

Article Info :

Received : January 14, 2021; Accepted : February 27, 2021.