6533b838fe1ef96bd12a519c

RESEARCH PRODUCT

Generalized differential transform method for nonlinear boundary value problem of fractional order

A. Di MatteoAntonina PirrottaAntonina Pirrotta

subject

Numerical AnalysisApplied MathematicsMathematical analysisOrder of accuracyFractional derivativeMixed boundary conditionFractional calculusSplit-step methodModeling and SimulationGeneralized differential transformFree boundary problemCauchy boundary conditionBoundary value problemSpectral methodBoundary value problemNonlinear differential equationMathematics

description

Abstract In this paper the generalized differential transform method is applied to obtain an approximate solution of linear and nonlinear differential equation of fractional order with boundary conditions. Several numerical examples are considered and comparisons with the existing solution techniques are reported. Results show that the method is effective, easier to implement and very accurate when applied for the solution of fractional boundary values problems.

yearjournalcountryeditionlanguage
2015-12-01Communications in Nonlinear Science and Numerical Simulation
https://doi.org/10.1016/j.cnsns.2015.04.017