Riccati Differential Equations: A Computational Approach
Archives of Current Research International · pp. 1–12 · Published 16 Sep 2017
10.9734/ACRI/2017/36267Abstract
One of the most important classes of nonlinear differential equations that have a great deal of applications is the Riccati Differential Equations (RDEs). In this paper, a quarter-step method is derived for the solution of RDEs by collocating and interpolating the Laguerre polynomial basis function. To establish the reliability and applicability of the method on RDEs, some model problems have been solved. The results obtained in terms of the point wise absolute errors show that the method developed approximates the exact solution closely. The research further investigated the basic properties of the method developed and found it to be zero-stable, consistent and convergent.
Cited by 7
Nathaniel Danladi, Umar Galadima, Adedayo A. Emmanuel · International Journal of Development Mathematics (IJDM) · 2026
A. Ishaq, F. M. Jimoh, K. Issa · Recent Advances in Natural Sciences · 2026
E. Omole, A. Familua, L. Adoghe · African Multidisciplinary Journal of Sciences and Artificial Intelligence · 2026
E. Omole, Olatunde Seun Ige, P. Onu · 2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG) · 2024
M. Alshorman, N. Zamri, Mohammed Ali · Journal of Modeling and Optimization · 2018
J. Sunday · 2018
Hira Soomro, Nooraini Zainuddin, Hanita Daud · Computers, Materials & Continua · 2022
Related research
- Corrosion Inhibition and Adsorption Characteristics of API 5L X-52 Steel by an Antibiotic Drug in HCl Solution — shares topic coverage
- Computational Method for the Simulation of Duffing Oscillators — shares topic coverage
- Integration of First-order Modeled Differential Equations Using a Quarter-step Method — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
7
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.