An integrated numerical method with error analysis for solving fractional differential equations of quintic nonlinear type arising in applied sciences
No Thumbnail Available
Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In this study, fractional differential equations having quintic nonlinearity are considered by proposing an accurate numerical method based on the matching polynomial and matrix-collocation system. This method provides an integration between matrix and fractional derivative, which makes it fast and efficient. A hybrid computer program is designed by making use of the fast algorithmic structure of the method. An error analysis technique consisting of the fractional-based residual function is constructed to scrutinize the precision of the method. Some error tests are also performed. Figures and tables present the consistency of the approximate solutions of highly stiff model problems. All results point out that the method is effective, simple, and eligible. © 2019 John Wiley & Sons, Ltd.
Description
Keywords
Control nonlinearities , Differential equations , Error analysis , Hybrid computers , Nonlinear equations , Algorithmic structure , Analysis techniques , Approximate solution , Collocation method , Fractional derivatives , Fractional differential equations , Quintic nonlinearity , Residual functions , Numerical methods