S. E. Fadugba - Department of Mathematics, Ekiti State University, Ado Ekiti, 360001, Nigeria. M. C. Kekana - Department of Mathematics, Tshwane University of Technology, Pretoria, South Africa. N. Jeeva - PG and Research Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India. I. Ibrahim - Department of Mathematics, Federal University, Dutse, Nigeria.
This study introduces a new approach termed the Higher Order Inverse Polynomial Method (HOIPM) to tackle diverse model types. We analyze HOIPM's unique attributes and verify them through three illustrative scenarios. Additionally, we conduct a comparative assessment with the classical fourth-order Runge-Kutta method (RK4) to evaluate accuracy and computational efficiency. Real-world applications, such as predator-prey, SIR, and SEIR models, highlight HOIPM's effectiveness.
S. E. Fadugba, M. C. Kekana, N. Jeeva, I. Ibrahim, Development and implementation of innovative higher order inverse polynomial method for tackling physical models in epidemiology, Journal of Mathematics and Computer Science, 36 (2025), no. 4, 444--454
Fadugba S. E. , Kekana M. C. , Jeeva N., Ibrahim I., Development and implementation of innovative higher order inverse polynomial method for tackling physical models in epidemiology. J Math Comput SCI-JM. (2025); 36(4):444--454
Fadugba, S. E. , Kekana, M. C. , Jeeva, N., Ibrahim, I.. "Development and implementation of innovative higher order inverse polynomial method for tackling physical models in epidemiology." Journal of Mathematics and Computer Science, 36, no. 4 (2025): 444--454
