The New Iterative Method for Approximate Solutions of Time Fractional Kdv, K(2,2), Burgers, and Cubic Boussinesq Equations
Bhausaheb R. Sontakke
Department of Mathematics, Pratishthan Mahavidyalaya, Paithan - 431107, Aurangabad, India.
Amjad Shaikh *
Department of Mathematics, Pratishthan Mahavidyalaya, Paithan - 431107, Aurangabad, India and Department of Mathematics, Poona College of Arts, Science and Commerce, Camp, Pune- 411001, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, new iterative method is used to determine approximate solutions for the time fractional KdV, the K(2,2), the Burgers, and the cubic Boussinesq equations. The obtained approximate solutions are compared with the exact results. The study reveals that the present method is very effective, accurate and convenient.
Keywords: New iterative method, time-fractional KdV equation, K(2,2) equation, Burgers equation, cubic Boussinesq equation, approximate solution