Non Standard Finite Difference Method for Quadratic Riccati Differential Equation

Authors

  • Samia Riaz Department of Mathematics, University Of Engineering and Technology Lahore, Pakistan.
  • Muhammad Rafiq Department of Mathematics, University Of Central Punjab Lahore, Pakistan.
  • Ozair Ahmad Department of Mathematics, The University Of Lahore, Pakistan.

Keywords:

Non linear differential equations, Riccati problem, Non-standard finite difference (NSFD) method, Differential transformation method (DTM, RK-4

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.

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Published

2015-12-31

Issue

Vol. 47 No. 2 (2015)

Section

Articles

How to Cite

Non Standard Finite Difference Method for Quadratic Riccati Differential Equation. (2015). Punjab University Journal of Mathematics, 47(2), 46-53. https://pujm.pu.edu.pk/index.php/pujm/article/view/51