A novel algorithm for time-fractional foam drainage equation
Qasem M. Al‐Mdallal, Haruon Yusuf, Alaa H. Ali
Abstract
In this work, we present a novel numerical algorithm for solving the nonlinear time-fractional foam drainage equation at early stages of the time. The analytical solution of the nonlinear time-fractional foam drainage equation is represented by a linear combination of fractional Bernstein basis polynomials over a time interval [0,T]. Detailed numerical algorithm with several theoretical results are discussed. Several examples are discussed to test the efficiency and accuracy of the present scheme.
Topics & Concepts
AlgorithmNonlinear systemWork (physics)MathematicsDrainageInterval (graph theory)Basis (linear algebra)Fractional calculusApplied mathematicsGeometryPhysicsThermodynamicsBiologyQuantum mechanicsCombinatoricsEcologyFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNanofluid Flow and Heat Transfer