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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.
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