Numerical solution of quadratic Riccati differential equations

Publication date: Available online 6 September 2016 Source:Egyptian Journal of Basic and Applied Sciences Author(s): Gemechis File, Tesfaye Aga 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.

Source: Egyptian Journal of Basic and Applied Sciences - September 6, 2016 Category: Science Source Type: research