We present a novel mathematical model based on the fourth order multi-singular nonlinear functional differential equations. This designed nonlinear functional model has singularities at three points, making the model more complicated and harder in nature. The delayed and multi-prediction terms in the model clearly represent the functionality of the model. Three different variants of the novel nonlinear triply singular functional differential model have been presented and the numerical results of each variant are obtained by using a well-known spectral collocation technique. For the perfection and excellence of the designed mathematical nonlinear model, the obtained numerical results of each variant have been compared with the exact solutions.

triply singular, fourth order, nonlinear functional differential model, collocation method.

Received: December 10, 2023; Accepted: January 3, 2024; Published: February 19, 2024

How to cite this article: A. H. Tedjani, Mahmoud M. Abdelwahab and M. A. Abdelkawy, An efficient scheme to solve fourth order nonlinear triply singular functional differential equation, Advances in Differential Equations and Control Processes 31(1) (2024), 27-42. http://dx.doi.org/10.17654/0974324324003

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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