Numerical analysis of space-time fractional Benjamin-Bona-Mahony equation
Junfeng Lu, Li Ma
Abstract
This paper proposes a numerical approach based on the fractional complex transform and the homotopy perturbation method to solving the space-time fractional Benjamin-Bona-Mahony (mBBM) equation with Caputo fractional derivative. Approximated solutions with high accuracy are provided without linearization or complicated computation. Numerical examples are given to illustrate the efficiency of this method.
Topics & Concepts
Homotopy perturbation methodLinearizationFractional calculusHomotopy analysis methodComputationMathematicsApplied mathematicsMathematical analysisNumerical analysisPerturbation (astronomy)Derivative (finance)Computer scienceHomotopyPhysicsNonlinear systemPure mathematicsAlgorithmEconomicsFinancial economicsQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsIterative Methods for Nonlinear Equations