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An efficient computational approach for fractional Bratu's equation arising in electrospinning process
Author(s) -
Singh Harendra,
Singh Amit Kumar,
Pandey Rajesh K.,
Kumar Devendra,
Singh Jagdev
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7401
Subject(s) - mathematics , fractional calculus , convergence (economics) , chebyshev polynomials , chebyshev filter , scheme (mathematics) , electrospinning , process (computing) , order (exchange) , mathematical analysis , polymer , computer science , materials science , finance , economics , operating system , economic growth , composite material
This article deals with fractional model of Bratu's equation. We have solved fractional model of Bratu's equation using Chebyshev polynomials (CPs). The fractional model of Bratu's equation plays an important role in electrospinning and vibration‐electrospinning process. We have discussed the error analysis of proposed scheme. We have also provided the convergence of suggested approximate method. Numerical results are demonstrated for various order of fractional derivative. Error tables reveal the accuracy of the suggested scheme. The outcomes of the present investigation are compared with some known studied and detected that our approach is more efficient and accurate.