Abstract
In this paper, we proposed an unconditionally stable NonStandard 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 features of continuous model.

Samia Riaz, Muhammad Rafiq, Ozair Ahmad. (2015) Non Standard Finite Difference Method for Quadratic Riccati Differential Equation, Punjab University Journal of Mathematics, Volume 47, Issue 2.
  • Views 564
  • Downloads 47

Article Details

Volume
Issue
Type
Language