AN EFFICIENT SCHEME TO SOLVE FOURTH ORDER NONLINEAR TRIPLY SINGULAR FUNCTIONAL DIFFERENTIAL EQUATION

A. H. Tedjani; Mahmoud M. Abdelwahab; M. A. Abdelkawy

A. H. Tedjani Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia
Mahmoud M. Abdelwahab Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia; Department of Basic Sciences-Higher Institute of Administrative Sciences Osim, Cairo, Egypt
M. A. Abdelkawy Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia; Department of Mathematics and Information Science, Faculty of Science, Beni-Suef University, Beni-Suef 62514, Egypt

Article ID: 2426

Keywords: triply singular; fourth order; nonlinear functional differential model; collocation method

Abstract

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.

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