An integrated numerical method with error analysis for solving fractional differential equations of quintic nonlinear type arising in applied sciences

Autor: Ersin Aslan, Ömür Kıvanç Kürkçü, Mehmet Sezer
Přispěvatelé: Department of Mathematics, İzmir University of Economics, İzmir, 35330, Turkey, Department of Software Engineering, Manisa Celal Bayar University, Manisa, 45400, Turkey, Department of Mathematics, Manisa Celal Bayar University, Manisa, 45140, Turkey
Rok vydání: 2019
Předmět:
Zdroj: Mathematical Methods in the Applied Sciences. 42:6114-6130
ISSN: 1099-1476
0170-4214
DOI: 10.1002/mma.5708
Popis: 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.
Databáze: OpenAIRE
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