Non Standard Finite Difference Method for Quadratic Riccati Differential Equation

Samia Riaz, Muhammad Rafiq, Punjab Lahore, Pakistan Ahmad
2015 Punjab University Journal of Mathematics   unpublished
In this paper, we proposed an unconditionally stable Non-Standard Finite Difference (NSFD) scheme to solve nonlinear Riccati differential equation. The accuracy and efficiency of the proposed scheme is verified by comparing the results with other numerical techniques such as Euler and RK-4 and semi analytical technique DTM. The obtained results show that the performance of NSFD scheme is more accurate and reliable. Unlike other schemes the proposed NSFD scheme preserves all the essential
more » ... he essential features of continuous model.