Eighth order Predictor-Corrector Method to Solve Quadratic Riccati Differential Equations

被引:0
|
作者
Kassahun, Wase [1 ]
Shiferaw, Alemayehu [1 ]
Gebregiorgis, Solomon [1 ]
机构
[1] Jimma Univ, Fac Nat Sci, Dept Math, Jimma, Ethiopia
来源
MOMONA ETHIOPIAN JOURNAL OF SCIENCE | 2021年 / 13卷 / 02期
关键词
Predictor-corrector method; Riccati differential equations; Stability analysis;
D O I
10.4314/mejs.v13i2.2
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, the eighth-order predictor-corrector method is presented for solving quadratic Riccati differential equations. First, the interval is discretized and then the method is formulated by using Newton's backward difference interpolation formula. The stability and convergence of the method have been investigated. To validate the applicability of the proposed method, two model examples with exact solutions have been considered and numerically solved. Maximum absolute errors are presented in tables and figures for different values of mesh size h and the present method gives better results than some existing numerical methods reported in the literature.
引用
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页码:213 / 224
页数:12
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