Author/Authors :
Mahmood, Danish Qassim University - Unaizah College of Pharmacy - Department of Pharmacology and Toxicology, Saudi Arabia , Muhammad, Bala Yauri Qassim University - Unaizah College of Pharmacy - Department of Pharmacology and Toxicology, Saudi Arabia , Albdulghani, Mahfoudh Qassim University - Unaizah College of Pharmacy - Department of Pharmacology Toxicology, Saudi Arabia , Anwar, Jamir Qassim University - Unaizah College of Pharmacy - Department of Pharmacology Toxicology, Saudi Arabia , el-Lebban, Nasra Qassim University - Unaizah College of Pharmacy - Department of Pharmacology Toxicology, Saudi Arabia , Haider, Mohammad Qassim University - Unaizah College of Pharmacy - Department of Pharmacology Toxicology, Saudi Arabia
Abstract :
The quadratic Riccati differential equations are part of non-linear differential equations which have many applications. This paper introduces the classical fourth order Runge Kutta method (RK4) for solving the numerical solution of the quadratic Riccati differential equations. To validate the applicability of the method on the proposed equation, some model examples have been solved for different values of mesh sizes. The numerical results in terms of point wise absolute errors presented in tables and graphs show that the present method approximates the exact solution very well.
