Generalized taylor matrix method for solving multi-higher nonlinear integro-fractional differential equations of fredholm type
Joint Authors
Said, Bzhwin A.
Ahmad, Shazad S.
Source
ZANCO Journal of Pure and Applied Sciences
Publisher
Salahaddin University-Erbil Department of Scientific Publications
Publication Date
2019-04-30
Country of Publication
Iraq
No. of Pages
21
Main Subjects
Social Sciences (Multidisciplinary)
English Abstract
In this study, generalized Taylor expansion approach formula is developed for solving approximately a FredholmHammerstein type of multi-higher order nonlinear integro- fractional differential equations with variable coefficients under given mixed conditions.
The fractional derivative is described in the Caputo sense.
Using the collocation points, this new technique depends mainly on transform the nonlinear equation and conditions into the matrix equations which leads to solve a system of nonlinear algebraic equations with unknown generalized Taylor coefficients.
A best algorithm for solving our equation numerically by applying this process has been developed in order to express these solution, programs are written in MatLab.
In addition, the truth and reliability of this method is tested by several illustrative numerical examples are presented to show effectiveness and accuracy of this algorithm.
Data Type
Conference Papers
Record ID
BIM-894457
American Psychological Association (APA)
Ahmad, Shazad S.& Said, Bzhwin A.. 2019-04-30. Generalized taylor matrix method for solving multi-higher nonlinear integro-fractional differential equations of fredholm type. International conference of Mathematics (2 : 2019 : Irbil, Iraq). . Vol. 31, no. 2 (Supplement) (2019), pp.19-39.Irbil Iraq : Salahaddin University-Erbil Department of Scientific Publications.
https://search.emarefa.net/detail/BIM-894457
Modern Language Association (MLA)
Ahmad, Shazad S.& Said, Bzhwin A.. Generalized taylor matrix method for solving multi-higher nonlinear integro-fractional differential equations of fredholm type. . Irbil Iraq : Salahaddin University-Erbil Department of Scientific Publications. 2019-04-30.
https://search.emarefa.net/detail/BIM-894457
American Medical Association (AMA)
Ahmad, Shazad S.& Said, Bzhwin A.. Generalized taylor matrix method for solving multi-higher nonlinear integro-fractional differential equations of fredholm type. . International conference of Mathematics (2 : 2019 : Irbil, Iraq).
https://search.emarefa.net/detail/BIM-894457
