NUMERICAL SOLUTIONS OF TIME FRACTIONAL FORNBERG -WHITHAM AND MODIFIED FORNBERG-WHITHAM EQUATIONS USING NEW ITERATIVE METHOD
BHAUSAHEB R. SONTAKKE
Department of Mathematics, Pratishthan Mahavidyalaya, Paithan 431107, Aurangabad, India
AMJAD SHAIKH *
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 numerical solutions of time fractional Fornberg−Whitham and modi ed Fornberg− Whitham equations arising in wave breaking involving Caputo derivative are obtained by using New iterative method. The obtained solutions are compared with the exact results to verify the applicability, efficiency and accuracy of the method. Numerical results for particular cases are presented graphically.
Keywords: Time-fractional fornberg−whitham equation, new iterative method, caputo derivative, approximate solution