Title of article
Numerical solution of quadratic Riccati differential equations
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
From page
392
To page
397
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.
Keywords
Riccati differential equation , Runge Kutta method
Journal title
Egyptian Journal Of Basic and Applied Sciences
Journal title
Egyptian Journal Of Basic and Applied Sciences
Record number
2596906
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