A Modified Differential Transform Method for Solving Nonlinear Systems

dc.contributor.author Syouri, Saber T.R.
dc.contributor.author Sulaiman, I. M.
dc.contributor.author Alghrouz, Ibrahim M.M.
dc.contributor.author Mamat, M.
dc.date.accessioned 2020-07-21T09:27:01Z
dc.date.available 2020-07-21T09:27:01Z
dc.date.issued 2020-04-10
dc.description.abstract Many natural phenomena are now being modelled by fractional calculus, however, there is still need for improvements of the present numerical approaches due to the non-local property of the fractional derivative and difficulty in solving problems related to physical units. In this paper, we present an improved numerical method based on Newton-Raphson fractional method (NFM) for solution of some nonlinear systems in complex space. Unlike in the Newton-Raphson fractional method, the commands of fractional derivatives are replaced with functions which is valid for one and several variables. The conformable fractional derivative of fractional order was employed to replace the first order derivative in the Newton method. Numerical results have been presented which show that the proposed numerical approach is efficient and promising. en_US
dc.identifier.issn 2207-6360
dc.identifier.uri https://dspace.alquds.edu/handle/20.500.12213/5683
dc.language.iso en en_US
dc.publisher Science and Engineering Research Support Society en_US
dc.subject Newton’s Method en_US
dc.subject Fractional Calculus en_US
dc.subject Conformable Fractional Derivative en_US
dc.subject Fractional Newton Method en_US
dc.title A Modified Differential Transform Method for Solving Nonlinear Systems en_US
dc.type Article en_US
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